Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces

Hitoshi Ishii

Research output: Contribution to journal › Article

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

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Parabolic PDEs
Partial differential equations
Discontinuity
Parabolic Partial Differential Equations
Comparison Theorem
Partial differential equation
Singularity
Generalise

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces. / Ishii, Hitoshi.

In: Advances in Differential Equations, Vol. 1, No. 1, 1996, p. 51-72.

Research output: Contribution to journal › Article

Ishii, H 1996, 'Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces', Advances in Differential Equations, vol. 1, no. 1, pp. 51-72.
Ishii H. Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces. Advances in Differential Equations. 1996;1(1):51-72.
Ishii, Hitoshi. / Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces. In: Advances in Differential Equations. 1996 ; Vol. 1, No. 1. pp. 51-72.
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