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.
|Number of pages||11|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - Aug 2001|
All Science Journal Classification (ASJC) codes
- Applied Mathematics