Sectorial operators with convolution term
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Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Element D.O.O.
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
Citation
8
WoS Q
Q2
Scopus Q
Q2
Source
Mathematical Inequalities and Applications
Volume
13
Issue
2
Start Page
387
End Page
404