Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations

被引：0

作者：

Hui Wu

机构：

[1] Nanjing University of Science and Technology,School of Science

来源：

Boundary Value Problems | / 2015卷

关键词：

degenerate parabolic equation; blow-up; nonexistence; 35K57; 35K65; 35K70;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we study a class of semilinear degenerate parabolic equations arising in mathematical finance and in the theory of diffusion processes. We show that blow-up of spatial derivatives of smooth solutions in finite time occurs to initial boundary value problems for a class of degenerate parabolic equations. Furthermore, nonexistence of nontrivial global weak solutions to initial value problems is studied by choosing a special test function. Finally, the phenomenon of blow-up is verified by a numerical experiment.

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