Optimal control of parabolic variational inequality involving state constraint

DOI10.1016/S0362-546X(99)00124-8zbMath1018.49004WikidataQ127580200 ScholiaQ127580200MaRDI QIDQ1582398

Gengsheng Wang

Publication date: 8 September 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

subdifferentialsgeneralized gradients

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Nonsmooth analysis (49J52) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85)

Related Items (12)

State-Constrained Optimal Control for the Phase-Field Transition System ⋮ Dynamic behaviors and optimal control of a new delayed epidemic model ⋮ Optimal control of parabolic variational inequalities with delays and state constraint ⋮ Optimal control of pseudoparabolic variational inequalities involving state constraint ⋮ Optimal control of parabolic variational inequalities with state constraint ⋮ Existence, non-existence and asymptotic behaviour of blow-up entire solutions of quasi-linear elliptic equations ⋮ Double obstacle control problem for a quasilinear elliptic variational inequality with source term ⋮ Maximum principle for state-constrained control of some semilinear parabolic differential equations ⋮ Optimal control of hyperbolic \(H\)-hemivariational inequalities with state constraints ⋮ Optimal control of non-well-posed heat equations ⋮ Maximum principle for optimal control of non-well posed elliptic differential equations ⋮ Pontryagin's maximum principle of optimal control governed by some non-well-posed semilinear parabolic differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear evolution operators and semigroups. Applications to partial differential equations
• Necessary Conditions for Optimal Control of Distributed Parameter Systems
• Optimization and nonsmooth analysis
• State Constrained Control Problems Governed by Variational Inequalities
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations

This page was built for publication: Optimal control of parabolic variational inequality involving state constraint