Potential Analysis

, Volume 35, Issue 3, pp 201–222

Regular Degenerate Separable Differential Operators and Applications

Authors

    • Department of Electronics and CommunicationOkan University
Article

DOI: 10.1007/s11118-010-9206-9

Cite this article as:
Shakhmurov, V.B. Potential Anal (2011) 35: 201. doi:10.1007/s11118-010-9206-9

Abstract

The boundary value problems for differential-operator equations with variable coefficients, degenerated on all boundary are studied. Several conditions for the separability, fredholmness and resolvent estimates in Lp-spaces are given. In applications degenerate Cauchy problem for parabolic equation, boundary value problems for degenerate partial differential equations and systems of degenerate elliptic equations on cylindrical domain are studied.

Keywords

Degenerate differential-operator equationsSemigroups of operatorsBanach-valued function spacesSeparabilityFredholmnessOperator-valued Fourier multipliersInterpolation of Banach spaces

Mathematics Subject Classifications (2010)

34G1035J2535J70

Copyright information

© Springer Science+Business Media B.V. 2010