A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds (2110.14041v1)

Published 26 Oct 2021 in math.AP

Abstract: We show that the knowledge of the Dirichlet--to--Neumann map for a nonlinear magnetic Schr\"odinger operator on the boundary of a compact complex manifold, equipped with a K\"ahler metric and admitting sufficiently many global holomorphic functions, determines the nonlinear magnetic and electric potentials uniquely.

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