Semilinear heat equations with distributions in Morrey spaces as initial data

Masao Yamazaki*, Xiaofang Zhou

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper is a continuous study to the paper [27]. Here we consider in Morrey spaces the Cauchy problem of the general semilinear heat equation with an external force. Both the external force and initial data belong to suitable Morrey spaces. When the norm of the external force is small, we proved the unique existence of small solution to the corresponding stationary problem. Moreover, if the initial data is close enough to the stationary solution, we verified the time-global solvability of the Cauchy problem, which leads to the stability of the small stationary solution.

本文言語English
ページ(範囲)537-571
ページ数35
ジャーナルHokkaido Mathematical Journal
30
3
DOI
出版ステータスPublished - 2001
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Semilinear heat equations with distributions in Morrey spaces as initial data」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