Approximate controllability of linear parabolic equation with memory
DOI10.1016/j.camwa.2022.11.003zbMath1504.65207OpenAlexW4309485798MaRDI QIDQ2107208
Anil Kumar, C. M. Joshi, Amiya K. Pani
Publication date: 1 December 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.003
optimal controlapproximate controllabilitypenalty functionnumerical result\( C_0\)-semigroupparabolic differential equations with memory
Numerical optimization and variational techniques (65K10) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDE constrained optimization (numerical aspects) (49M41) Transport equations (35Q49)
Cites Work
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- Interior approximate and null controllability of the heat equation with memory
- Lack of controllability of the heat equation with memory
- Approximate controllability of a semilinear heat equation
- Controllability results of linear parabolic integrodifferential equations.
- Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations
- Reachability problems for a class of integro-differential equations
- Heat equation with memory: Lack of controllability to rest
- Controllability and observability of a heat equation with hyperbolic memory kernel
- Riesz systems and controllability of heat equations with memory
- Semigroups of linear operators and applications to partial differential equations
- Boundary control of parabolic systems: Finite-element approximation
- Control of a plate equation with large memory
- Infinite dimensional linear systems theory
- Unbounded perturbation of the controllability for evolution equations
- Approximate and null controllability for the multidimensional Coleman-Gurtin model
- Controllability of integrodifferential systems with nonlocal initial conditions in Banach spaces
- The controllability of the Gurtin-Pipkin equation: a cosine operator approach
- Controllability of mixed Volterra-Fredholm type integrodifferential third order dispersion equations
- Approximate controllability for an integro-differential control problem
- Approximate controllability of a parabolic integrodifferential equation
- Ritz–Galerkin Approximation of the Time Optimal Boundary Control Problem for Parabolic Systems with Dirichlet Boundary Conditions
- On approximation theorems for controllability of non-linear parabolic problems
- Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations
- Control of a Second-Order Integro-Differential Equation
- Remarks on non controllability of the heat equation with memory
- Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint
- Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained
- Controllability of Evolution Equations with Memory
- Exact and Approximate Controllability for Distributed Parameter Systems
- A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control
- Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
- Controllability of the heat equation with memory
