Multiplicities of Eigenvalues of the Diffusion Operator with Random Jumps from the Boundary
Spectral Theory
2018-02-02 v1
Abstract
This paper deals with a non-self-adjoint differential operator which is associated with a diffusion process with random jumps from the boundary. Our main result is that the algebraic multiplicity of an eigenvalue is equal to its order as a zero of the characteristic function . This can be used to determine the multiplicities of eigenvalues for concrete operators.
Keywords
Cite
@article{arxiv.1802.00091,
title = {Multiplicities of Eigenvalues of the Diffusion Operator with Random Jumps from the Boundary},
author = {Jun Yan and Guoliang Shi},
journal= {arXiv preprint arXiv:1802.00091},
year = {2018}
}