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 |
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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 |
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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
}
TY - JOUR
T1 - Degenerate parabolic pdes with discontinuities and generalized evolutions of surfaces
AU - Ishii, Hitoshi
PY - 1996
Y1 - 1996
N2 - 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]).
AB - 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]).
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UR - http://www.scopus.com/inward/citedby.url?scp=0013035240&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0013035240
VL - 1
SP - 51
EP - 72
JO - Advances in Differential Equations
JF - Advances in Differential Equations
SN - 1079-9389
IS - 1
ER -