Stability of determining the potential from partial boundary data in a Schrödinger equation in the high frequency limit

DOI10.3934/cac.2023012MaRDI QIDQ6610210

Mourad Choulli

Publication date: 25 September 2024

Published in: Communications on Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

potentialstability inequalityquantitative unique continuationpartial Dirichlet-to-Neumann mapquantitative Runge approximationSchrödinger equation in the high frequency limit

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Cites Work

• Unnamed Item
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• Double logarithmic stability in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map
• Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations
• The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent
• Quantitative Runge Approximation and Inverse Problems
• Global logarithmic stability of a Cauchy problem for anisotropic wave equations

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