A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem

DOI10.1088/0266-5611/23/1/014zbMath1111.35104arXiv0804.1709OpenAlexW2110123390MaRDI QIDQ3425204

Lucie Baudouin, Alberto Mercado, Axel Osses

Publication date: 7 March 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1709

zbMATH Keywords

uniquenessLipschitz stabilityseismic prospectionNeumann boundary measurement

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Related Items (12)

Inverse problem on a tree-shaped network: unified approach for uniqueness ⋮ Stability estimate in determination of a coefficient in transmission wave equation by boundary observation ⋮ Exact Controllability for a Schrödinger Equation with Dynamic Boundary Conditions ⋮ An inverse problem for the transmission wave equation with Kelvin–Voigt damping ⋮ Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity ⋮ Sufficient conditions for the controllability of wave equations with a transmission condition at the interface ⋮ Inverse Problems for a Compressible Fluid System ⋮ Uniqueness for time-dependent inverse problems with single dynamical data ⋮ Carleman estimates for the wave equation in heterogeneous media with non-convex interface ⋮ Global Carleman Estimates for Waves and Applications ⋮ Uniform null controllability for parabolic equations with discontinuous diffusion coefficients ⋮ An inverse problem for Schrödinger equations with discontinuous main coefficient

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