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Single-point blow-up patterns for a nonlinear parabolic equation
期刊文章

Single-point blow-up patterns for a nonlinear parabolic equation

Jong-Shenq Guo, Yung-Jen Lin Guo 和 Je-Chiang Tsai
Nonlinear Analysis, Theory, Methods and Applications, 卷.53(7-8), 頁碼.1149-1165
06/2003
DOI: https://doi.org/10.1016/S0362-546X(03)00051-8

摘要

Backward self-similar solution Blow-up Nonlinear parabolic equation Pattern Analysis Applied Mathematics
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.

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