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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
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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2004