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.
|頁（從 - 到）||1149-1165|
|期刊||Nonlinear Analysis, Theory, Methods and Applications|
|出版狀態||已發佈 - 2003 6月|
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