A method of energy estimates in L and its application to porous medium equations

Mitsuharu Ôtani, Yoshie Sugiyama

研究成果: Contribution to journalArticle

4 引用 (Scopus)

抜粋

The existence of time local C -solutions is shown for Cauchy problem of the porous medium equations. Our arguments rely on the “L∞-energy method” developed in our previous paper [16] and a new method based on the theory of evolution equations in the L2-framework which enables us to handle with perturbations which can be decomposed into monotone parts and small parts in Sobolev spaces of higher order.

元の言語英語
ページ(範囲)745-789
ページ数45
ジャーナルJournal of the Mathematical Society of Japan
53
発行部数4
DOI
出版物ステータス出版済み - 1 1 2001

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

フィンガープリント A method of energy estimates in L<sup>∞</sup> and its application to porous medium equations' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用