Inverse spectral problems in rectangular domains
Analysis of PDEs
2015-07-21 v2 Spectral Theory
Abstract
We consider the Schrodinger operator in n-dimensional rectangular domains with either Dirichlet or Neumann boundary conditions on the faces and study the constraints on the potential imposed by fixing the spectrum of the operator.We study also the asymptotics of the heat kernel when t tends to 0.
Cite
@article{arxiv.math/0407213,
title = {Inverse spectral problems in rectangular domains},
author = {Gregory Eskin and James Ralston},
journal= {arXiv preprint arXiv:math/0407213},
year = {2015}
}
Comments
In the new version we added the rigidity result (Theorem 1.2)