Optimal control problem for the backward heat equation

DOI10.1007/BF00971254zbMath0843.49017OpenAlexW2110554334MaRDI QIDQ1903858

Oleg Yurievich Imanuvilov

Publication date: 16 January 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971254

zbMATH Keywords

optimal controlvariational inequalitiesheat equationCauchy problemconditions for optimality

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Heat equation (35K05)

Related Items (2)

Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework ⋮ Numerical approximations of exact controllability problems by optimal control problems for parabolic differential equations

Cites Work

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• Lagrange principle for problems of optimal control of ill-posed or singular distributed systems
• Optimal control of unstable non linear evolution systems
• Even More States Reachable by Boundary Control for the Heat Equation
• Optimal Control for a Backward Parabolic System
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

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