Sectorial operators with convolution term
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Element D.O.O.
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In the present paper, separability properties of convolution-differential equations with unbounded operator coefficients in Banach valued Lp spaces are investigated. A coercive estimate for resolvent of corresponding realization operator, especially, its R-sectoriality is obtained. Finally, these results applied to establish maximal regularity of Cauchy problem for the abstract parabolic convolution equations and integro-differential equations on infinite dimension state spaces. © ELEMENT, Zagreb.
Description
Keywords
Abstract cauchy problem, Banach-valued l<sub>p</sub> spaces, Boundary value problems, Integro-differential equations, Operator-valued multipliers, Sectorial operators
Turkish CoHE Thesis Center URL
Fields of Science
Citation
8
WoS Q
Q2
Scopus Q
Q2
Source
Mathematical Inequalities and Applications
Volume
13
Issue
2
Start Page
387
End Page
404