Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616977 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
In this paper, we investigate the nonselfadjoint (dissipative) boundary value transmission problems in Weyl’s limit-circle case. At first using the method of operator-theoretic formulation we pass to a new operator. After showing that this new operator is a maximal dissipative operator, we construct a selfadjoint dilation of the maximal dissipative operator. Using the equivalence of the Lax–Phillips scattering function and the Sz.-Nagy-Foiaş characteristic function, we show that all eigenfunctions and associated functions are complete in the space Lw2(Ω).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bilender P. Allahverdiev, Elgiz Bairamov, Ekin Ugurlu,