Global existence and blow-up for semilinear parabolic equation with critical exponent in $\mathbb{R}^N$

In this paper, we use the self-similar transformation and the modified potential well method to study the long time behaviors of solutions to the classical semilinear parabolic equation associated with critical Sobolev exponent in $\mathbb{R}^N$. Global existence and finite time blowup of solutions...

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Bibliographic Details
Main Authors: Fei Fang, Binlin Zhang
Format: Article
Language:English
Published: University of Szeged 2022-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9544