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math.AP2025
Quantitative uniqueness of continuation for the Schrödinger equation : explicit dependence on the potential
Mourad Choulli, Hiroshi Takase
We demonstrate a quantitative version of the usual properties related to unique continuation from an interior datum for the Schrödinger equation with bounded or unbounded potential…
math.AP2025
Stability for an inverse flux and an inverse boundary coefficient problems
Mourad Choulli, Shuai Lu, Hiroshi Takase
We establish both Lipschitz and logarithmic stability estimates for an inverse flux problem and subsequently apply these results to an inverse boundary coefficient problem. Further…
math.AP2025
Stable determination of the potential for the Helmholtz equation in the high frequency limit from boundary measurements
Mourad Choulli, Hiroshi Takase
We establish a triple logarithmic stability estimate of determining the potential in a Helmholtz equation from a partial Dirichlet-to-Neumann map in the high frequency limit. This…