Solution of irregular problems by the asymptotic method
Abstract:We investigate the Regge problem in Sobolev spaces with a weight. Moreover, conditions of proved theorems are weaker than those in the author’s paper published in the Journal of Mathematical Analysis and Applications 220 (1998), pp. 224–249. We prove an isomorphism, coerciveness with a defect with respect to the spectral parameter and 2-fold completeness of root functions of the Regge problem. By the suggested method one can investigate both irregular and regular problems.
Document Type: Research Article
Affiliations: Department of Mathematics and Computer Science, University of Haifa, Haifa 31905, Israel E-mail: email@example.com
Publication date: 2000-02-01