Cauchy problem for nonlinear parabolic equations

Hi Jun Choe, Jin Ho Lee

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The Cauchy problem for degenerate parabolic equations with bounded measurable coefficients is studied. The existence and uniqueness of initial trace for nonnegative solutions is shown. The Harnack type estimate is fundamental. Moreover the behavior of interface is studied locally and globally. The interface is Hölder continuous graph. Finally the asymptotic behavior of solutions is studied.

Original languageEnglish
Pages (from-to)51-75
Number of pages25
JournalHokkaido Mathematical Journal
Volume27
Issue number1
DOIs
Publication statusPublished - 1998

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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