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

Yoshiyuki Kagei, Yasunori Maekawa

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抜粋

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.

元の言語英語
ページ(範囲)3036-3096
ページ数61
ジャーナルJournal of Functional Analysis
260
発行部数10
DOI
出版物ステータス出版済み - 5 15 2011

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用