Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint. II.

DOI10.1134/S0012266111050119zbMath1227.49005WikidataQ115252306 ScholiaQ115252306MaRDI QIDQ642020

V. S. Gavrilov, M. I. Sumin

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

minimizing sequencesoptimal control problemhomogeneous Dirichlet boundary conditionlinear hyperbolic equationregularity and normality conditions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

The Cauchy problem for an abstract second order ordinary differential equation ⋮ Existence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundary

Cites Work

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• A parametric problem of the suboptimal contol of the Goursat-Darboux system with a pointwise phase constraint
• On the variational principle
• Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function
• The first variation and Pontryagin’s maximum principle in optimal control for partial differential equations
• Nonsmooth sequential analysis in Asplund spaces
• On the Differential Structure of Real Functions
• Suboptimal control of a semilinear elliptic equation with a phase constraint and a boundary control

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