Necessary Optimality Conditions for the Control of Semilinear Hyperbolic Boundary Value Problems

DOI10.1137/0325074zbMath0629.49013OpenAlexW2176968893MaRDI QIDQ3766384

Martin Brokate

Publication date: 1987

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0325074

zbMATH Keywords

Volterra integral equationscharacteristicsNecessary first order conditionssystem of first order semilinear hyperbolic equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives ⋮ Variational optimality condition in the problem of control of initial boundary conditions for semilinear hyperbolic systems ⋮ Optimization for nonlinear hyperbolic equations without the uniqueness theorem for a solution of the boundary-value problem ⋮ Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks ⋮ Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems

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