一类含非局部源的非线性退化扩散方程解的爆破性质

邓卫兵; 刘其林; 谢春红

一类含非局部源的非线性退化扩散方程解的爆破性质

南京大学, 数学系, 南京, 210093

详细信息

作者简介:
邓卫兵(1971- ),男,江苏人,讲师,博士(E-mail:wbdeng@nju.edu.cn).

中图分类号: O175.26
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- 被引次数: 0
出版历程
- 收稿日期: 2001-10-26
- 修回日期: 2003-06-09
- 刊出日期: 2003-11-15

The Blowup Properties for a Class of Nonlinear Degenerate Diffusion Equation With Nonlocal Source

Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

摘要

摘要: 研究了一类带非局部源的非线性退化抛物型方程.在一定条件下,证得方程的解在有限时刻爆破且爆破点集为整个区域.积分方法被用来研究解的爆破性质.
- 退化方程 /
- 非局部源 /
- 有限时刻爆破 /
- 整体爆破
Abstract: A nonlinear degenerate parabolic equation with nonlocal source was considered. It is shown that under certain assumptions the solution of the equation blows up in finite time and the set of blow-up points is the whole region. The integral method is used to investigate the blowup properties of the solution.
- degenerate equation /
- nonlocal source /
- blow up in finite time /
- global blowup

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参考文献(12)

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