Exponentially Growing Solutions for Nonsmooth First-Order Perturbations of the Laplacian

1 January 1998

journal article
Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis

Vol. 29 (1) , 116-133
https://doi.org/10.1137/s0036141096301038

Abstract

We construct exponentially growing solutions for first-order perturbations of the Laplacian which are not smooth. We apply this kind of solution to prove global uniqueness for an inverse boundary value problem for the Schrödinger equation in the presence of a magnetic field.

Keywords

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