ON exact dead-core rates for a semilinear heat equation with strong absorption

Yukihiro Seki

研究成果: Contribution to journalArticle査読

11 被引用数 (Scopus)

抄録

We study a semilinear heat equation with strong absorption ut = u - up with 0 < p < 1 in RN. A solution is known to develop dead-core in finite time for a wide class of initial data. We construct specific solutions with exact dead-core rates faster than the one given by the corresponding ODE. They are constructed formally by means of matched asymptotic expansion technique and rigorously by means of topological fixed-point arguments based on a priori estimates. To obtain the a priori estimates, we analyze a certain linearized problem in a new function space $\mathcal{H}'$.

本文言語英語
ページ(範囲)1-52
ページ数52
ジャーナルCommunications in Contemporary Mathematics
13
1
DOI
出版ステータス出版済み - 2 2011
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 応用数学

フィンガープリント

「ON exact dead-core rates for a semilinear heat equation with strong absorption」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル