Hyperbolic equations with mixed boundary conditions: shape differentiability analysis

DOI10.1007/s00245-016-9354-4zbMath1378.49046OpenAlexW2339406679WikidataQ57424434 ScholiaQ57424434MaRDI QIDQ1678507

Jean-Paul Zolésio, Lorena Bociu

Publication date: 17 November 2017

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9354-4

zbMATH Keywords

regularitywave equationmixed boundary conditionsshape derivativeDirichlet-Neumann boundary conditionsshape differentiability analysis

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Wave equation (35L05) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items

Sharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in space, Analysis of general shape optimization problems in nonlinear acoustics

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