Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 1149-1165 |
Number of pages | 17 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 53 |
Issue number | 7-8 |
DOIs | |
Publication status | Published - 2003 Jun |
Keywords
- Backward self-similar solution
- Blow-up
- Nonlinear parabolic equation
- Pattern
ASJC Scopus subject areas
- Analysis
- Applied Mathematics