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

被引：0

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;

D O I：

暂无

中图分类号：

学科分类号：

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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