Direct and inverse problems for the Schrödinger operator in a three-dimensional planar waveguide
Peijun Li,
Xiaohua Yao,
Yue Zhao
Abstract:In this paper, we study the meromorphic continuation of the resolvent for the Schrödinger operator in a three-dimensional planar waveguide. We prove the existence of a resonance-free region and an upper bound for the resolvent. As an application, the direct source problem is shown to have a unique solution under some appropriate assumptions. Moreover, an increasing stability is achieved for the inverse source problem of the Schrödinger operator in the waveguide by using limited aperture Dirichlet data only at … Show more
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