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

Mitsuharu Ôtani, Yoshie Sugiyama

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)745-789
Number of pages45
JournalJournal of the Mathematical Society of Japan
Volume53
Issue number4
DOIs
Publication statusPublished - Jan 1 2001

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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