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Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities*

Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities*

Abstract We consider increasing stability in the inverse Schrödinger potential problem with power type nonlinearities at a large wavenumber. Two linearization approaches, with respect to small boundary data and small potential function, are proposed and their performance on the inverse Schrödinger potential problem is investigated. It can be observed that …