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Uniform estimations of the Green function for the singular Schrödinger operator

✍ Scribed by M. Horváth


Publisher
Akadmiai Kiad
Year
1993
Tongue
English
Weight
494 KB
Volume
61
Category
Article
ISSN
1588-2632

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Estimates for Periodic and Dirichlet Eig
✍ T. Kappeler; C. Möhr 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 210 KB

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