Inverse spectral problems in rectangular domains

Details Inverse spectral problems in rectangular domains Inverse spectral problems in rectangular domains

2004-07-13

arxiv.org/abs/math/0407213v2

Mathematics

Analysis of PDEs

In the new version we added the rigidity result (Theorem 1.2)

Scientific paper

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.

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