Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations

2015/06/16 by Ryo Ikehata, Ikehata, Ryo
Computer Science · Engineering · Mathematics · #35B40 #37L15 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35L60 #Secondary 35L70 #Stability and Controllability of Differential Equations #math.AP #msc:35B40 #msc:35L60 #msc:35L70 #msc:37L15

paper · pdf · doi:10.48550/arxiv.1506.04858

This is an unpublished paper, which was already written in 2013

arxiv created 2015/06/16 · openalex publication_date 2015/06/16 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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