Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Hitoshi Ishii*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 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

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