Completeness of Elementary Solutions of Second Order Elliptic Equations in a Semi-infinite Tube Domain
Date
2002-01-02
Authors
Yakubov, Yakov
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integro-differential, functional-differential and equations with a shift.
Description
Keywords
Abstract differential equations, Second order elliptic equations, Semi-infinite tube domains, Isomorphism, Completeness
Citation
Yakubov, Y. (2002). Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain. <i>Electronic Journal of Differential Equations, 2002</i>(03), pp. 1-21.
Rights
Attribution 4.0 International