Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations

Abstract

We consider the Cauchy problem in ${\mathbf{R}}^n$ for heat and damped wave equations. We derive asymptotic profiles to those solutions with weighted $L^{1,1}({\mathbf{R}}^n)$ data by presenting a simple method.

arXiv commentThis is an unpublished paper, which was already written in 2013