Optimal control for a sixth order nonlinear parabolic equation

DOI10.1002/mma.3063zbMath1305.49006OpenAlexW2088577292MaRDI QIDQ2938289

Chein-Shan Liu, Zhao Wang

Publication date: 14 January 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3063

zbMATH Keywords

optimal controloptimality conditionsixth order parabolic equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Higher-order parabolic equations (35K25)

Related Items (14)

The optimal control problem with necessity condition for a viscous shallow water equation ⋮ Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature ⋮ Optimal distributed control for a coupled phase-field system ⋮ Global existence of weak solutions to a higher-order parabolic system ⋮ Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint ⋮ Weak solutions for a sixth order Cahn-Hilliard type equation with degenerate mobility ⋮ Global weak solutions to a higher order nonlinear degenerate parabolic equation ⋮ Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term ⋮ Study of weak solutions for a higher order nonlinear degenerate parabolic equation ⋮ Optimal distributed control for a new mechanochemical model in biological patterns ⋮ Blow-up and extinction for a sixth-order parabolic equation ⋮ Asymptotic dynamics of a sixth-order integro-differential equation ⋮ Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term ⋮ Global regular solvability of a nonuniformly nonlinear sixth order Cahn–Hilliard system

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