Integral state-constrained optimal control problems for some quasilinear parabolic equations

DOI10.1016/S0362-546X(98)00264-8zbMath0954.49016MaRDI QIDQ1968743

Luis Alberto Fernandez

Publication date: 19 November 2000

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

zbMATH Keywords

optimal controlnecessary optimality conditionsintegral functionalsquasilinear parabolic equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Second order optimality conditions for optimal control of quasilinear parabolic equations ⋮ Optimal control problem governed by semilinear parabolic equation and its algorithm ⋮ Analysis and optimal control of some quasilinear parabolic equations ⋮ Optimal control of planar flow of incompressible non-Newtonian fluids ⋮ Optimal Control Problems for Elliptic–Parabolic Variational Inequalities with Time-Dependent Constraints ⋮ New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints

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