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- Title
MULTIPLICITIES OF EIGENVALUES OF THE DIFFUSION OPERATOR WITH RANDOM JUMPS FROM THE BOUNDARY.
- Authors
YAN, JUN; SHI, GUOLIANG
- 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 $\unicode[STIX]{x1D6E5}(\unicode[STIX]{x1D706})$. This is a new criterion for determining the multiplicities of eigenvalues for concrete operators.
- Subjects
DIFFERENTIAL operators; MATHEMATICAL models of diffusion; EIGENVALUES; MULTIPLICITY (Mathematics); LINEAR operators; MATHEMATICS theorems
- Publication
Bulletin of the Australian Mathematical Society, 2019, Vol 99, Issue 1, p101
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972718001120