CONDITIONS FOR THE DISCRETENESS OF THE SPECTRUM OF SINGULAR ELLIPTIC OPERATORS (thesis)
Technical Report
·
OSTI ID:4687687
The Direchlet problem for singular second order elliptic operators is examined. Such an operator is defined and extended to a closed, densely defined, Direchlet operator L with a resolvent set contained in a left half-plane. After obtaining L, criteria are formulated for the discreteness of the spectrum of L, and a corollary to the discreteness theorem developed is proved. Criteria for nondiscreteness in a special case are also derived, and positive lower bounds for the least eigenvalue of a positive definite hermitian matrix are developed. (auth)
- Research Organization:
- California. Univ., Berkeley. Lawrence Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-17-023853
- OSTI ID:
- 4687687
- Report Number(s):
- UCRL-10744
- Country of Publication:
- United States
- Language:
- English
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