Multipoint boundary-value problem of optimal control for parabolic equations with degeneration

DOI10.1007/s10958-023-06553-4zbMath1520.49012OpenAlexW4384153592MaRDI QIDQ6175476

Ivan D. Pukal'skii, B. O. Yashan

Publication date: 18 August 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06553-4

zbMATH Keywords

maximum principleboundary conditionsdegeneration\textit{a priori} estimatesinterpolation inequalities

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Existence of solutions for minimax problems (49J35)

Cites Work

• Existence and uniqueness of second order parabolic bilinear optimal control problems
• Sparse initial data identification for parabolic PDE and its finite element approximations
• Green function of a parabolic boundary-value problem and the optimization problem
• Some Applications of Optimal Control Theory of Distributed Systems
• On an optimal control problem for a quasilinear parabolic equation
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