An inverse hyperbolic obstacle problem

Hiroshi Takase; Mourad Choulli

An inverse hyperbolic obstacle problem

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arxiv 2407.05662 v3 pith:CQX4ICRH submitted 2024-07-08 math.AP

Mourad Choulli , Hiroshi Takase This is my paper · ORCID

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keywords obstacleproblemboundaryhyperbolicinversedefineddomainestablish

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We establish H\"older stability of an inverse hyperbolic obstacle problem. Mainly, we study the problem of reconstructing an unknown function defined on the boundary of the obstacle from two measurements taken on the boundary of a domain surrounding the obstacle.

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An inverse obstacle problem for the magnetic Schr\"odinger equation
math.AP 2024-11 conditional novelty 6.0 of 10

A new Carleman inequality yields Lipschitz (local) and logarithmic (global) stability estimates for an inverse obstacle problem for the magnetic Schrödinger equation.

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