Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Hitoshi Ishii

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We establish comparison theorems for solutions of degenerate parabolic partial differential equations with discontinuities (or singularities). The results are used to define the generalized evolutions of sets generated by geometric partial differential equations with discontinuities. These results generalize recent results obtained by Ohnuma-Sato ([13]) and Gurtin- Soner-Souganidis ([11]).

Original languageEnglish
Pages (from-to)51-72
Number of pages22
JournalAdvances in Differential Equations
Volume1
Issue number1
Publication statusPublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces'. Together they form a unique fingerprint.

  • Cite this