Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability

DOI10.1137/070698397zbMath1165.35477OpenAlexW2041016729MaRDI QIDQ3630351

Elena Beretta, Sergio Vessella, Elisa Francini

Publication date: 28 May 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070698397

zbMATH Keywords

linear elasticityinverse problemscracks

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Classical linear elasticity (74B05) Inverse problems for PDEs (35R30)

Related Items (8)

Inverse problems on low-dimensional manifolds ⋮ Boundary perturbations due to the presence of small linear cracks in an elastic body ⋮ Unnamed Item ⋮ Dislocations in a layered elastic medium with applications to fault detection ⋮ Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements ⋮ Stability estimates for the fault inverse problem ⋮ Analysis of a model of elastic dislocations in geophysics ⋮ Infinite-dimensional inverse problems with finite measurements

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