Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations

Abstract

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

This is an unpublished paper, which was already written in 2013