Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

Yoshiyuki Kagei, Yasunori Maekawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.

Original languageEnglish
Pages (from-to)3036-3096
Number of pages61
JournalJournal of Functional Analysis
Volume260
Issue number10
DOIs
Publication statusPublished - May 15 2011

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint Dive into the research topics of 'Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance'. Together they form a unique fingerprint.

  • Cite this