The paper deals with spectral properties of elliptic operators of second order in irregular unbounded domains with cusps. The eigenvalue asymptotic of the operator with Neumann boundary conditions is proved. The eigenvalue asymptotic in these domains is different from that with Dirichlet boundary co
β¦ LIBER β¦
The spectrum of unbounded operator matrices with non-diagonal domain
β Scribed by Rainer Nagel
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 541 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0022-1236
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Given two self-adjoint operators A and V = V + -V -, we study the motion of the eigenvalues of the operator A t = A -tV as t increases. Let Ξ± > 0 and let Ξ» be a regular point for A. We consider the quantities N + V Ξ» Ξ± , N -V Ξ» Ξ± , and N 0 V Ξ» Ξ± defined as the number of eigenvalues of the operator A