The applications of Sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation

被引：0
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作者：
Yuanfei Li
Lianhong Guo
Peng Zeng
机构：
[1] South China University of Technology,School of Mathematics
[2] Guangdong University of Finance & Economics,Huashang College
来源：
Boundary Value Problems | / 2020卷
关键词：
Sobolev inequalities; Partial differential equations; Global solution; 26D15; 26A51; 35K20; 35K55;
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摘要：
The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the quasilinear parabolic equations. When the blow-up occurs, we derive the lower bound of the blow-up solution.
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