A pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditions

DOI10.1016/j.jde.2015.07.006zbMath1329.35181OpenAlexW2209214169WikidataQ57435073 ScholiaQ57435073MaRDI QIDQ496721

Jean-Paul Zolésio, Lorena Bociu

Publication date: 22 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.07.006

zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionGalerkin approximationshape optimization techniques

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items (4)

Sharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in space ⋮ Hyperbolic equations with mixed boundary conditions: shape differentiability analysis ⋮ Fractional diffusion-wave equations: hidden regularity for weak solutions ⋮ Solution of the Cauchy problem for the wave equation using iterative regularization

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data
• Shape analysis via oriented distance functions
• Shape derivative in the wave equation with Dirichlet boundary conditions
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Geometric control in the presence of a black box
• Strong Shape Derivative for the Wave Equation with Neumann Boundary Condition
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