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Solutions in Morrey spaces of some semilinear heat equations with time-dependent external forces

Published online by Cambridge University Press:  22 January 2016

Xiaofang Zhou
Xiaofang Zhou*
Affiliation:
Department of Mathematics, Wuhan University, Wuhan 430072, Hubei, P.R.China, xfzhou2003@hotmail.com
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Abstract

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In this paper, we consider the Cauchy problem for some semilinear heat equations with time-dependent external forces. Both the external force and the initial data are assumed to be small in some Morrey spaces. We first prove the unique existence of a small time-global solution. We next show the stability of that solution by proving the time-global sovability of perturbation problems.

Keywords

35K0535K5535B35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 174 , 2004 , pp. 127 - 163
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

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