Evolution Equations and Control Theory

Article	Citations
Optimal control for a free boundary tumor growth model	13
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	13
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	12
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system	10
Nonlinear continuous data assimilation	10
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics	10
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints	9
Optimal polynomial thermoelastic stability of a composite material	9
Stability properties for a problem of light scattering in a dispersive metallic domain	9
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity	8
On the Laplace equation with non-local dynamical boundary conditions	7
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement	7
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory	7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates	7
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal	7
Singular limits and dynamics for the abstract Timoshenko system	7
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	6
Global solutions to a chemotaxis-consumption model with signal-dependent motility	6
An initial-boundary value problem describing moisture transport in porous media: Existence of strong solutions and an error estimate for a finite volume scheme	6
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator	6
Optimal control of time-periodic solutions to quasi-variational evolution equations	6
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation	6
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	6
Robust model reductions for the boundary feedback stabilization of magnetizable piezoelectric beams	5

<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection	5
Temporal periodic solutions for fractional evolution equations with nonlinear source terms	5
On the exponential stabilization of a semilinear Timoshenko beam system via locally distributed delayed damping	5
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions	5
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator	5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	5
A source inverse problem for semilinear nonlocal pseudo-parabolic equations with nonlinear intensity	5
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities	5
A new PDE-Constrained optimization applied to image denoising	5
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system	4
Sensitivity analysis for equilibrium problems and applications to optimal control problems	4
A continuous-time inertial Newton method for structured monotone inclusions	4
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	4
Variational analysis of proximal compositions and integral proximal mixtures	4
A general decay result for the Cauchy problem of plate equations with memory	4
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling	4
Existence and robustness results of attractors for partially-damped piezoelectric beams	4
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	4
Preface	3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	3
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis	3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	3
Retraction: Khaled Zennir. Existence and general qualitative properties of <inline-formula><tex-math id="M1">$ k $</tex-math></inline-formula>th-order solution for nonlinear vi	3
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets	3
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $	3
Boundary controllability of Caputo fractional differential equations	3
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta	3
Robust <inline-formula><tex-math id="M1">$ H_{\infty} $</tex-math></inline-formula> sampled-data sliding mode control for Markov switching stochastic neutral-type systems with	3
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth	3
On Bochner's almost-periodicity criterion	3
Variational analysis for a quasistatic piezoelectric contact problem governed by a class of history-dependent quasi-variational-hemivariational inequalities	3
Weak solvability of the initial-boundary value problem for a finite-order model of the inhomogeneous incompressible Kelvin-Voigt fluid without a positive lower bound on the initial condition of fluid	3
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping	3
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data	3
Approximate controllability of nonconvex-valued semilinear differential inclusions with nonlocal conditions	3
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations	3
A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices	3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	3
Approximate controllability of impulsive fractional neutral hemivariational inequality with infinite delay via an approximating technique	3
Hédy Attouch (1949-2023)	3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability	2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions	2
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity	2
Optimal control for stochastic differential equations and related Kolmogorov equations	2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data	2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	2
Global boundedness for a class of chemotaxis-consumption systems involving singularly signal-dependent motility	2
On the exact controllability for the Benney-Luke equation in a bounded domain	2
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients	2
Stability analysis of a coupled plate system with nonlinear damping mechanisms of energy-type	2

Observability of dispersive equations from line segments on the torus	2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay	2
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion	2
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum	2
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay	2
On the finite time blow-ups for solutions of nonlinear differential equations	2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics	2
Evolution families in the framework of maximal regularity	2
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations	2
Regularity for non-autonomous parabolic equations with right hand side singular measures involved	2
Non-unique stationary solutions of even active scalar equations	2
Effective filtering for slow-fast systems via Wong-Zakai approximation	2
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point	2
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams	2
Stability of backward inverse problems for degenerate mean-field game systems	2
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping	2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis	2
Stochastic optimal linear quadratic controls with a recursive cost functional	2
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law	2
Enhanced dissipation via time-modulated velocity fields	2
Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators	1
Blow up for nonlinear wave-type equations with perturbed derivatives	1
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	1
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model	1
Global bounded solutions in a higher-dimensional SIS reaction-diffusion-chemotaxis epidemic model with flux limitation and nonlinear incidence	1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	1
Asymptotic behaviour of a 2D Piezoelectric beam with magnetic effect on a rectangular or annular domain: Case without geometric conditions	1
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces	1
Optimal regional control for a class of semilinear fractional evolution equations	1
Controllability for Schrödinger type system with mixed dispersion on compact star graphs	1
Multiple turnpikes of linear control systems with nonconvex integrands	1
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion	1
Null-controllability for weakly dissipative heat-like equations	1
On the existence and continuity results for viscoelastic problem parabolic equations	1
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control	1
Boundary controllability of a linear Schrödinger-Korteweg-de Vries system	1
Solvability and Ulam stability in the <inline-formula><tex-math id="M1">$ \alpha $</tex-math></inline-formula>-norm for a nonlocal coupled system of integrodifferential equatio	1
A convex relaxation method for free boundary problems	1
Blow-up time bounds for a strongly damped wave equation with PINNs validation	1
Global exponential contraction of functional differential equations	1
Approximate controllability of nonconvex valued semilinear differential inclusion	1
Optimal harvesting for a logistic model with grazing	1
Uniform stabilization of the Boussinesq system in Besov spaces via finite dimensional, boundary-based fluid and interior thermal feedbacks	1
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale	1
Mean continuity and local controllability of pullback random attractors for random nonlocal equations	1
Pontryagin's optimal variational inequalities for SDEs with non-differentiable coefficients: A Malliavin calculus approach	1
Global boundedness for a predator-prey model with nonlinear indirect pursuit-evasion effect	1
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory	1
Global weak solutions to a chemotaxis system for virus dynamics with <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-Laplacian diffusion and singular sensit	1
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign	1
The necessary optimal condition of inverse heat source problem	1
Time-space fractional porous medium equations with nonlocal nonlinear terms	1
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays	1
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption	1
Time periodic solution to chemotaxis-shallow water system in a periodic domain	1
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions	1
Optimal control problems governed by space-time fractional parabolic equations on metric graphs	1
Stabilization for some degenerate wave equations	1
Mathematical analysis of an abstract model and its applications to structured populations (I)	1
Envelope, singular solution, and finite-time stability	1
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	1
Stability and optimal control for an age-structured model of periodical cicadas	1
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles	1
Boundary null controllability for the heat equation with dynamic boundary conditions	1
Pullback attractors for non-autonomous MGT-Fourier system	1
Mean-square controllable continuous attractors for random Korteweg-de Vries lattice equations	1
Time optimal control for a class of evolutionary equations with applications	1
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential	1
Riccati-based solution to the optimal control of linear evolution equations with finite memory	1
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	1
Robustness for coupled inclusions with respect to variable exponents	1
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems	1
Well-posedness, exponential and polynomial decay for a Timoshenko system with logarithmic nonlinear damping: The cases of equal &amp; nonequal-speed propagation	1
Dynamics of nonlinear anomalous reaction-diffusion models: Global existence and blow-up of solutions	1
Time optimal control for semi-linear second-order evolution systems with infinite delay	1
Null controllability of KdV equation in a star-shaped network	1
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function	1
Exact boundary controllability for one-dimensional wave equations systems with a time dependent potential in non-cylindrical domains	1
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity	1

New criteria for blow–up of the Boussinesq equations with zero heat conductivity	0
Uniform decaying property of solutions for anisotropic viscoelastic systems	0
Lifespan estimate for a porous medium equation with gradient terms under nonlinear boundary conditions	0
Painlevé-Kuratowski convergences of solutions to nonlinear multiobjective optimal control problems	0
On the Cauchy problem for semilinear thermoelastic plate systems in the <i>L<sup>q</sup></i> framework	0
A note on control of one-dimensional heterogeneous reaction-diffusion equations	0
Long-time behavior for Kirchhoff wave equation with a memory term and a structural damping	0
Uniformly exponentially stable finite-difference model reduction of heat and piezoelectric beam interactions with static or hybrid feedback controllers	0
The quadratic tracking problem for systems with persistent memory in $ \mathbb{R}^d $	0
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation	0
Traveling-wave solutions for a higher-order Boussinesq system: Existence and numerical analysis	0
Solving coupled pairs of fractional differential equations by Mikusiński's operational calculus	0
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials	0
Scattering for a defocusing inhomogeneous Hartree equation in the mass-subcritical regime	0
Exact controllability of degenerate wave equation in nondivergence form with interior control and drift	0
Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure	0
(<i>L<sup>p</sup></i>, <i>L<sup>q</sup></i>) Hyers-Ulam stability	0
Optimal control of Landau-Lifshitz-Bloch equation with applied current	0
Controllability results to stochastic neutral functional differential equations with delay	0
Optimal boundary control of the Bulk-surface Coupled Cahn-Hilliard-diffusion system for lipid raft formation	0
Stability results of a laminated beam with Cattaneo's thermal law and structural damping	0
Energy decay rate of the generalized Rao-Nakra beam with singular local Kelvin-Voigt damping	0
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition	0
Approximation of mild solutions of delay integro-differential equations on Banach spaces	0
Global well-posedness of 3D magneto-micropolar fluid equations without magnetic diffusion	0
On the decay of a porous thermoelastic system with thermal dissipation and delay term	0
Heat equation involving generalized <i>p</i>(<i>ξ</i>)-Laplacian with logarithmic nonlinearity	0
Null controllability for parabolic systems with dynamic boundary conditions	0
On a class of second-order dynamical systems involving viscous and Hessian-driven damping	0
Exact controllability of semilinear heat equations through a constructive approach	0
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping	0
Well-posedness of a variable-exponent telegraph equation applied to image despeckling	0
Weak solutions of neutral stochastic functional differential equations in infinite dimensional spaces	0
A note on weighted vanishing mean value functions and WPAP solutions to nonautonomous evolution equations	0
Controllability for a 2 × 2 nonlinear degenerate parabolic system via one boundary control force	0
Continuous data assimilation and feedback control of fractional reaction-diffusion equations	0
On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime	0
Optimal feedback control for a class of partial differential inclusions with memory	0
Adaptive-memory fractional SIR dynamics via Hermite wavelet spectral methods	0
Robust tracking of fractional-order diffusion equation with uncertain parameter using second-order sliding mode boundary control	0
Continuum modeling and analysis of collective motion on Riemannian manifolds	0
Approximation of the set of integrable trajectories of the control system with $ L_2 $ norm constraints on control functions	0
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity	0
Invariant measures and limit behavior for semi-linear neutral stochastic integro-differential evolution equations with infinite delay	0
Analysis of diffusive size-structured population model and optimal birth control	0
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control	0
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition	0
Uniqueness for the Schrödinger equation with an inverse square potential and application to controllability and inverse problems	0
Sweeping process with unbounded delayed perturbation	0
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses	0
An optimal control problem driven by iterative integro-differential inclusion	0
Exact controllability of wave equations with internal control in moving boundary domain	0
Rapid boundary stabilization for the longitudinal vibrations of a bar	0
Asymptotic behavior of a viscoelastic wave-Petrovsky coupled system with supercritical source terms	0
Stabilization of coupled unstable semilinear reaction-advection-diffusion PDEs with spatially varying coefficients via event-triggered boundary feedback	0
Space-time-dependent source identification problem for a subdiffusion equation	0
Asymptotic behavior of solutions of the Cauchy problem for a hyperbolic equation with periodic coefficients. the principle of the limiting amplitude	0
Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type	0
On theoretical result of a controlled $ p(x) $-reaction diffusion equation for Poisson noise reduction	0
Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints	0
Recovering all coefficients in the Schrödinger equation with finite sets of boundary measurements	0
Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity	0
Optimal control of McKean-Vlasov equations with controlled stochasticity	0
Formation of stationary interfaces in the fast reaction limit	0
Boundary consensus of networked hyperbolic PDE systems with input disturbances	0
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks	0
Regularity results for degenerate wave equations in a neighborhood of the boundary	0
Boundary perturbation theorem for the essential spectral radius with application to a spatial tumor invasion with cell age	0
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition	0
On the exact observability of Schrödinger equations associated with Laguerre operators	0
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity	0
Inverse problem for abstract delay differential equation with impulsive effects	0
Solvability of a chemotaxis system modeling immune response to a solid tumor with <i>L</i><sup>2</sup>-initial data	0
Approximate controllability for second-order stochastic neutral evolution equations with infinite delay	0
A class of viscoelastic evolution equation on manifolds with conical singularities	0
On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces	0
Explicit convergence rate of the proximal point algorithm under R-continuity	0
Optimal control for infinite-horizon bilinear systems subject to a set of vector-valued functions	0
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system	0
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	0
Finite-time blow-up of coupled nonlinear asymmetric wave systems with tempered fractional delay	0
Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields	0
Global existence and asymptotic behavior of classical solutions of a fully parabolic chemotaxis system with indirect signal production and nonlinear sensitivity	0
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation	0
Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays	0
Well-posedness of the Maxwell equations with nonlinear Ohm law	0
Stability result of the Kawahara equation with localized damping and time-varying delay	0
Null boundary controllability for some biological and chemical diffusion problems	0
Pointwise feedback stabilization of an unstable cascaded heat-heat system with different reaction coefficients	0
Recovery of weight function of one-dimensional mixed distributed-fractional problem	0
On a beam model with degenerate nonlocal nonlinear damping	0
An effect of decay rates: Supercritical damping and a viscoelastic term	0
A coupled problem described by time-dependent subdifferential operator and non-convex perturbed sweeping process	0
Nonexistence for a time-fractional damped wave equation in an annulus	0
Well-posedness and approximate controllability for some integrodifferential evolution systems with multi-valued nonlocal conditions	0