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 2022-05-01 to 2026-05-01.)
ArticleCitations
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros13
Optimal control for a free boundary tumor growth model13
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator12
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics10
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system10
Nonlinear continuous data assimilation10
Stability properties for a problem of light scattering in a dispersive metallic domain9
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints9
Optimal polynomial thermoelastic stability of a composite material9
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity8
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions7
On the Laplace equation with non-local dynamical boundary conditions7
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement7
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory7
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates7
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal7
Singular limits and dynamics for the abstract Timoshenko system7
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces6
Global solutions to a chemotaxis-consumption model with signal-dependent motility6
An initial-boundary value problem describing moisture transport in porous media: Existence of strong solutions and an error estimate for a finite volume scheme6
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator6
Optimal control of time-periodic solutions to quasi-variational evolution equations6
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation6
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space6
A source inverse problem for semilinear nonlocal pseudo-parabolic equations with nonlinear intensity5
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities5
A new PDE-Constrained optimization applied to image denoising5
Robust model reductions for the boundary feedback stabilization of magnetizable piezoelectric beams5
<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection5
Temporal periodic solutions for fractional evolution equations with nonlinear source terms5
On the exponential stabilization of a semilinear Timoshenko beam system via locally distributed delayed damping5
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions5
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator5
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling4
Existence and robustness results of attractors for partially-damped piezoelectric beams4
Von Karman thermoelastic plates: Existence and nonexistence of global solutions4
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system4
Sensitivity analysis for equilibrium problems and applications to optimal control problems4
A continuous-time inertial Newton method for structured monotone inclusions4
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force4
Variational analysis of proximal compositions and integral proximal mixtures4
A general decay result for the Cauchy problem of plate equations with memory4
Approximate controllability of impulsive fractional neutral hemivariational inequality with infinite delay via an approximating technique3
Hédy Attouch (1949-2023)3
Preface3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure3
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping3
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
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets3
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $3
Boundary controllability of Caputo fractional differential equations3
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \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 growth3
On Bochner's almost-periodicity criterion3
Variational analysis for a quasistatic piezoelectric contact problem governed by a class of history-dependent quasi-variational-hemivariational inequalities3
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 damping3
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data3
Approximate controllability of nonconvex-valued semilinear differential inclusions with nonlocal conditions3
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations3
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
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions3
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis2
Stochastic optimal linear quadratic controls with a recursive cost functional2
Regularity for non-autonomous parabolic equations with right hand side singular measures involved2
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law2
Effective filtering for slow-fast systems via Wong-Zakai approximation2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions2
Optimal control for stochastic differential equations and related Kolmogorov equations2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction2
Global boundedness for a class of chemotaxis-consumption systems involving singularly signal-dependent motility2
On the exact controllability for the Benney-Luke equation in a bounded domain2
Enhanced dissipation via time-modulated velocity fields2
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients2
Second order dynamical systems governed by maximally monotone operators: Quantitative stability2
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity2
Observability of dispersive equations from line segments on the torus2
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion2
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay2
On the finite time blow-ups for solutions of nonlinear differential equations2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics2
Evolution families in the framework of maximal regularity2
Stability analysis of a coupled plate system with nonlinear damping mechanisms of energy-type2
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay2
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum2
Non-unique stationary solutions of even active scalar equations2
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point2
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams2
Stability of backward inverse problems for degenerate mean-field game systems2
0.077721834182739