Published December 1984
| Version v1
Report
Asymptotics of eigenvalues of variational elliptic problems with indefinite weight function
Description
This paper is concerned with spectral theory of right non-definite elliptic boundary value problems, i.e., Au = lambdagu on OMEGA is contained in R/sup n/, with Dirichlet homogeneous boundary conditions, when g changes sign. Asymptotics are obtained for the eigen-values in two cases: 1) when OMEGA is bounded, and 2) when OMEGA is unbounded. In case 1, the usual Weyl-Courant estimate is generalized; in case 2, the de Wett-Mandl formula is extended for operators of Schroedinger type
Additional details
Publishing Information
- Imprint Title
- Spectral theory of Sturm-Liouville differential operators: proceedings of the 1984 workshop
- Journal Page Range
- p. 107-118.
- Report number
- ANL--84-73
Conference
- Title
- Workshop on spectral theory of Sturm-Liouville differential operators.
- Dates
- 14 May - 15 Jun 1984.
- Place
- Argonne, IL (USA).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20016985
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; DIRICHLET PROBLEM; EIGENVALUES; MATHEMATICAL OPERATORS; SCHROEDINGER EQUATION; SPECTRA
- Descriptors DEC
- EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS