Evolution Equations and Control Theory

Papers
(The TQCC of Evolution Equations and Control Theory is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator15
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros15
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics14
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system12
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints11
Optimal control for a free boundary tumor growth model11
Stability properties for a problem of light scattering in a dispersive metallic domain10
Nonlinear continuous data assimilation10
Optimal polynomial thermoelastic stability of a composite material10
Singular limits and dynamics for the abstract Timoshenko system9
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity9
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal8
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory8
On the Laplace equation with non-local dynamical boundary conditions8
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement7
An initial-boundary value problem describing moisture transport in porous media: Existence of strong solutions and an error estimate for a finite volume scheme7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces7
Optimal control of time-periodic solutions to quasi-variational evolution equations7
Global solutions to a chemotaxis-consumption model with signal-dependent motility7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates7
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions7
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space7
A new PDE-Constrained optimization applied to image denoising6
A source inverse problem for semilinear nonlocal pseudo-parabolic equations with nonlinear intensity6
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation6
Temporal periodic solutions for fractional evolution equations with nonlinear source terms6
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions6
Addendum to "Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure": Bibliographical notes and clarifications6
On the exponential stabilization of a semilinear Timoshenko beam system via locally distributed delayed damping6
Rich dynamics of an age-structured predator-prey model with double time delays and prey-infection6
<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection6
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force5
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator5
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities5
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling5
Robust model reductions for the boundary feedback stabilization of magnetizable piezoelectric beams5
Approximate controllability of impulsive fractional neutral hemivariational inequality with infinite delay via an approximating technique5
Existence and robustness results of attractors for partially-damped piezoelectric beams5
Controllability of nonlinear systems involving two fractional derivatives with noninstantaneous impulses5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator5
Hédy Attouch (1949-2023)4
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta 4
A continuous-time inertial Newton method for structured monotone inclusions4
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $4
Weak solvability of the initial-boundary value problem for a finite-order model of the inhomogeneous incompressible Kelvin-Voigt fluid without a positive lower bound on the initial condition of fluid 4
Sensitivity analysis for equilibrium problems and applications to optimal control problems4
Preface4
A general decay result for the Cauchy problem of plate equations with memory4
Polynomial stability of strongly coupled hyperbolic systems with internal damping and implicit infinite-memory effects4
Approximate controllability of nonconvex-valued semilinear differential inclusions with nonlocal conditions4
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping4
Von Karman thermoelastic plates: Existence and nonexistence of global solutions4
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data4
Variational analysis of proximal compositions and integral proximal mixtures4
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system4
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations4
Retraction: Khaled Zennir. Existence and general qualitative properties of <inline-formula><tex-math id="M1">$ k $</tex-math></inline-formula>th-order solution for nonlinear vi3
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure3
On Bochner's almost-periodicity criterion3
Boundary controllability of Caputo fractional differential equations3
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions3
A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices3
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum3
Robust <inline-formula><tex-math id="M1">$ H_{\infty} $</tex-math></inline-formula> sampled-data sliding mode control for Markov switching stochastic neutral-type systems with 3
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth3
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping3
Enhanced dissipation via time-modulated velocity fields3
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets3
Variational analysis for a quasistatic piezoelectric contact problem governed by a class of history-dependent quasi-variational-hemivariational inequalities3
Exploring fractional <inline-formula><tex-math id="M1">$ p[\nabla^\alpha u] $</tex-math></inline-formula>-laplacian dynamics in evolutionary PDEs: Applications in image noise r2
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients2
Second order dynamical systems governed by maximally monotone operators: Quantitative stability2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay2
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption2
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity2
Boundary controllability of a linear Schrödinger-Korteweg-de Vries system2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction2
Time optimal control for semi-linear second-order evolution systems with infinite delay2
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function2
Global boundedness for a class of chemotaxis-consumption systems involving singularly signal-dependent motility2
Well-posedness, exponential and polynomial decay for a Timoshenko system with logarithmic nonlinear damping: The cases of equal &amp; nonequal-speed propagation2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data2
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law2
Stochastic optimal linear quadratic controls with a recursive cost functional2
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams2
Regularity for non-autonomous parabolic equations with right hand side singular measures involved2
Stability analysis of a coupled plate system with nonlinear damping mechanisms of energy-type2
Evolution families in the framework of maximal regularity2
Observability of dispersive equations from line segments on the torus2
A convex relaxation method for free boundary problems2
Exponential decay for a thermo-viscoelastic dynamic contact problem with friction and infinite memory2
Stability of backward inverse problems for degenerate mean-field game systems2
On the exact controllability for the Benney-Luke equation in a bounded domain2
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping2
Time-space fractional porous medium equations with nonlocal nonlinear terms2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics2
Effective filtering for slow-fast systems via Wong-Zakai approximation2
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations2
Optimal control for stochastic differential equations and related Kolmogorov equations2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions2
Controllability for Schrödinger type system with mixed dispersion on compact star graphs2
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions2
Non-unique stationary solutions of even active scalar equations2
Discrete Hilfer fractional evolution equations: Explicit solution families, maximal <inline-formula><tex-math id="M1">$ \ell^{p} $</tex-math></inline-formula>-regularity, and o2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis2
On the existence and continuity results for viscoelastic problem parabolic equations2
On the finite time blow-ups for solutions of nonlinear differential equations2
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