The inverse Robin boundary value problem in a half-space

2013/11/27 by Lassi Païvärinta, Lassi Päivärinta, Päivärinta, Lassi +2
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.6947

Abstract

We study the inverse Robin problem for the Schrödinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimensions two and three. We then show that the Robin-to-Robin map uniquely determines the potential q.

Citations

• Inverse boundary value problem for linear Schrödinger equation in two dimensions
• A Global Uniqueness Theorem for an Inverse Boundary Value Problem

Related

• The Robin and Neumann problems for the nonlinear Schrödinger equation on the half-plane
• Inverse boundary value problem for linear Schrödinger equation in two dimensions
• Inverse boundary value problem for Schrödinger equation in two dimensions
• Determination of the Schrödinger-Robin operator by incomplete or asymptotic spectral boundary data
• The nonlinear Schrödinger equation on the half-space