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2004 Solutions in Morrey spaces of some semilinear heat equations with time-dependent external forces
Xiaofang Zhou
Nagoya Math. J. 174: 127-163 (2004).

Abstract

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.

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Xiaofang Zhou. "Solutions in Morrey spaces of some semilinear heat equations with time-dependent external forces." Nagoya Math. J. 174 127 - 163, 2004.

Information

Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1053.35062
MathSciNet: MR2066106

Subjects:
Primary: 35K55
Secondary: 35B35 , 35K15

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal

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Vol.174 • 2004
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