## Nagoya Mathematical Journal

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

Xiaofang Zhou

#### 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.

#### Article information

Source
Nagoya Math. J., Volume 174 (2004), 127-163.

Dates
First available in Project Euclid: 27 April 2005

https://projecteuclid.org/euclid.nmj/1114632069

Mathematical Reviews number (MathSciNet)
MR2066106

Zentralblatt MATH identifier
1053.35062

#### Citation

Zhou, Xiaofang. Solutions in Morrey spaces of some semilinear heat equations with time-dependent external forces. Nagoya Math. J. 174 (2004), 127--163. https://projecteuclid.org/euclid.nmj/1114632069

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