Maximal Regular Abstract Elliptic Equations and Applications
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Maik Nauka/interperiodica/springer
Abstract
The oblique derivative problem is addressed for an elliptic operator differential equation with variable coefficients in a smooth domain. Several conditions are obtained, guaranteing the maximal regularity, the Fredholm property, and the positivity of this problem in vector-valued L (p)-spaces. The principal part of the corresponding differential operator is nonselfadjoint. We show the discreteness of the spectrum and completeness of the root elements of this differential operator. These results are applied to anisotropic elliptic equations.
Description
Keywords
boundary value problem, operator differential equation, completeness of root elements, Banach-valued function spaces, operator-valued multipliers, interpolation of Banach spaces, semigroup of operators
Turkish CoHE Thesis Center URL
Citation
6
WoS Q
Q4
Scopus Q
Q3
Source
Volume
51
Issue
5
Start Page
935
End Page
948