Stable determination of an inclusion in an inhomogeneous elastic body by boundary measurements

DOI10.13137/2464-8728/13153zbMath1371.35353arXiv1610.01541OpenAlexW2528671115MaRDI QIDQ2971313

Edi Rosset, Antonino Morassi

Publication date: 4 April 2017

Full work available at URL: https://arxiv.org/abs/1610.01541

zbMATH Keywords

stabilityinverse problemsinclusionsunique continuationlinearized elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inverse problems in equilibrium solid mechanics (74G75) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Continuation and prolongation of solutions to PDEs (35B60) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements ⋮ A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ Identification of cavities and inclusions in linear elasticity with a phase-field approach ⋮ Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data ⋮ Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map

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