Optimization for nonlinear hyperbolic equations without the uniqueness theorem for a solution of the boundary-value problem

DOI10.3103/S1066369X09010046zbMath1180.49003OpenAlexW2063357857MaRDI QIDQ735925

S. Ya. Serovaiskii

Publication date: 26 October 2009

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x09010046

zbMATH Keywords

optimal controlapproximate solutionhyperbolic equationpenalty method

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Approximate solution of singular optimization problems
• Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms
• Necessary Optimality Conditions for the Control of Semilinear Hyperbolic Boundary Value Problems
• A Characterization of Well-Posed Optimal Control Systems
• Optimality Conditions for Distributed Control Problems with Nonlinear State Equation
• Necessary Conditions for Optimization Problems with Hyperbolic Partial Differential Equations
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