On the existence of optimal controls for quasilinear parabolic partial differential equations

DOI10.1007/BF00933359zbMath0431.49002OpenAlexW2092784523MaRDI QIDQ1138212

Ezzat S. Noussair, S. M. Nababan, Kok Lay Teo

Publication date: 1981

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00933359

zbMATH Keywords

quasilinear parabolic partial differential equationsfirst boundary conditionsFilippov's implicit functions lemma

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear parabolic equations (35K55) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

On the existence of optimal controls of systems governed by quasilinear parabolic partial delay-differential equations, Optimal control of quasilinear parabolic equations, Optimal control for semilinear integrodifferential evolution equations in Banach spaces, Existence of optimal controls for systems governed by parabolic partial differential equations with Cauchy boundary conditions, Second order optimality conditions for optimal control of quasilinear parabolic equations

Cites Work

• Optimal control theory
• Closure theorems for orientor fields and weak convergence
• Measurable multifunctions, selectors, and Filippov's implicit functions lemma
• An Existence Theorem on Optimal Control of Partially Observable Diffusions
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Optimal Control of Partially Observable Diffusions