Inverse spectral problems in rectangular domains
偏微分方程分析
2015-07-21 v2 谱理论
摘要
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.
引用
@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}
}
备注
In the new version we added the rigidity result (Theorem 1.2)