Optimal control of nonclassical diffusion equations with memory
DOI10.1007/s10440-020-00310-4zbMath1467.35328OpenAlexW3001159635MaRDI QIDQ2023060
Publication date: 3 May 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-020-00310-4
optimal controlnecessary optimality conditionssufficient optimality conditionsnonclassical diffusion equations
Control/observation systems governed by partial differential equations (93C20) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A remark on nonclassical diffusion equations with memory
- Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
- Optimal control problems for a von Kármán system with long memory
- Optimal control of systems with noisy memory and BSDEs with Malliavin derivatives
- Attractors for the non-autonomous nonclassical diffusion equations with fading memory
- On the dynamics of a class of nonclassical parabolic equations
- Pullback attractors for a class of non-autonomous nonclassical diffusion equations
- Attractors for semi-linear equations of viscoelasticity with very low dissipation
- Attractors for the nonclassical diffusion equations with fading memory
- On the problem of diffusion in solids
- Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
- Averaging of nonclassical diffusion equations with memory and singularly oscillating forces
- Attractors for a nonclassical diffusion equation
- Optimal control for evolution equations with memory
- Dynamics of non-autonomous nonclassical diffusion equations on \(\mathbb R^n\)
- Nonclassical diffusion equations on \(\mathbb{R}^N\) with singularly oscillating external forces
- An optimal control problem for a parabolic equation in the class of smooth controls
- Trajectory attractors for nonclassical diffusion equations with fading memory
- Optimal control for stochastic heat equation with memory
- Certain non-steady flows of second-order fluids
- On a theory of heat conduction involving two temperature
- Asymptotic stability in viscoelasticity
- Global attractors for a nonclassical diffusion equation
- Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities
- Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- On some optimal control problems governed by a state equation with memory
- Second Order Sufficient Optimality Conditions for Parabolic Optimal Control Problems with Pointwise State Constraints
- Existence and upper semicontinuity of uniform attractors in H1(RN) for nonautonomous nonclassical diffusion equations
- Nonclassical diffusion with memory
- Time-dependent global attractor for the nonclassical diffusion equations
- Optimal Control of Semilinear Parabolic Equations by BV-Functions
- Optimal control of parabolic equations by spectral decomposition
- Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
- Set-valued analysis
This page was built for publication: Optimal control of nonclassical diffusion equations with memory