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 () and Gurtin- Soner-Souganidis ().
|Number of pages||22|
|Journal||Advances in Differential Equations|
|Publication status||Published - 1996|
ASJC Scopus subject areas
- Applied Mathematics