Abstract
The existence of time local smooth solutions of (P) in higher dimensions is analyzed. A time local solution which is smooth with respect to time and space variables is constructed. Thus, the existence of time local solutions for the porous medium equations is proven.
Original language | English |
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Pages (from-to) | 3171-3181 |
Number of pages | 11 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 47 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2001 Aug |
Keywords
- Porous medium equation
- Quasilinear parabolic equations
- Smooth solutions
- Time local solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Mathematics(all)