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Global solutions of abstract semilinear parabolic equations with memory terms

Global solutions of abstract semilinear parabolic equations with memory terms The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-differential equations in Hilbert spaces for rather general convolution kernels and nonlinear terms with superlinear growth at infinity. The included application to a nonlinear model of heat flow in materials of fading memory type provides motivations for the abstract theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Differential Equations and Applications NoDEA Springer Journals

Global solutions of abstract semilinear parabolic equations with memory terms

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Birkhäuser-Verlag
Subject
Mathematics
ISSN
1021-9722
eISSN
1420-9004
DOI
10.1007/s00030-003-1004-2
Publisher site
See Article on Publisher Site

Abstract

The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-differential equations in Hilbert spaces for rather general convolution kernels and nonlinear terms with superlinear growth at infinity. The included application to a nonlinear model of heat flow in materials of fading memory type provides motivations for the abstract theory.

Journal

Nonlinear Differential Equations and Applications NoDEASpringer Journals

Published: Jan 23, 2003

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