腾讯会议:627-744-912
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Inverse Schrodinger potential problem concerns about the recovery of potential function in the Schrodinger equation in bounded domain throught DtN map. In this talk, we introduce the linearized local DtN map in the partial data setting, and prove a stability estimate with explicit dependence on wavenumber. This is an increasing stability result, in the sense that the logarithmic stable term decays when wavenumber increases. Furthermore, a heuristic DNN algorithm based on a regularization scheme is applied and the stability improvement with respect to the wavenumber is observed. It is a joint work with Boxi Xu (SUFE) and Sen Zou (Fudan).