Regularity properties of degenerate convolution-elliptic equations
No Thumbnail Available
Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
The coercive properties of degenerate abstract convolution-elliptic equations are investigated. Here we find sufficient conditions that guarantee the separability of these problems in L-p spaces. It is established that the corresponding convolution-elliptic operator is positive and is also a generator of an analytic semigroup. Finally, these results are applied to obtain the maximal regularity properties of the Cauchy problem for a degenerate abstract parabolic equation in mixed L-p norms, boundary value problems for degenerate integro-differential equations, and infinite systems of degenerate elliptic integro-differential equations.
Description
Keywords
positive operators, abstract weighted spaces, operator-valued multipliers, boundary value problems, convolution equations, integro-differential equations
Turkish CoHE Thesis Center URL
Fields of Science
Citation
7
WoS Q
Q1
Scopus Q
Q2