A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.
|Number of pages||17|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2003 Jun 1|
- Backward self-similar solution
- Nonlinear parabolic equation
ASJC Scopus subject areas
- Applied Mathematics