Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Hitoshi Ishii

Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Hitoshi Ishii^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	51-72
Number of pages	22
Journal	Advances in Differential Equations
Volume	1
Issue number	1
Publication status	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Abstract

ASJC Scopus subject areas

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