In this paper, the periodic and the Dirichlet problems for the Schrödinger 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
✦ LIBER ✦
On solvability of the Dirichlet problem to the semilinear Schrödinger equation with singular potential
✍ Scribed by A. V. Demyanov; A. I. Nazarov
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 199 KB
- Volume
- 143
- Category
- Article
- ISSN
- 1573-8795
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