Spectral asymptotics for eigenvalues and resonances in the presence of a change of boundary conditions

André Froehly

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arXiv · 1710.02068

Spectral asymptotics for eigenvalues and resonances in the presence of a change of boundary conditions

André Froehly

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Abstract

We consider a general second-order elliptic differential operator on a domain with a cylindrical end. We impose Dirichlet boundary conditions on the boundary with the exception of a small set, where we impose Neumann boundary conditions. Shrinking this set to a point we calculate the asymptotic behaviour of eigenvalues and resonances.

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André Froehly. 2017-10-05. Spectral asymptotics for eigenvalues and resonances in the presence of a change of boundary conditions. https://arxiv.org/abs/1710.02068

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