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：
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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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