Some estimates for the eigenvalues of a perturbation operator
โ Scribed by S.V. Kurochkin
- Publisher
- Elsevier Science
- Year
- 1987
- Weight
- 333 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
In this paper, the periodic and the Dirichlet problems for the Schrรถdinger operator -(d 2 /dx 2 )+V are studied for singular, complex-valued potentials V in the Sobolev space H -a per [0, 1] (0 [ a < 1). The following results are shown: (1) The periodic spectrum consists of a sequence (l k ) k \ 0
We find an asymptotic expression for the first eigenvalue of the biharmonic operator on a long thin rectangle. This is done by finding lower and upper bounds which become increasingly accurate with increasing length. The lower bound is found by algebraic manipulation of the operator, and the upper b