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数学与物理
应用数学进展
Vol. 3 No. 2 (May 2014)
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带非局部源的p-Laplace发展方程解的熄灭
Extinction for a Class of p-Laplace Evolution Equation with Nonlocal Sources
DOI:
10.12677/AAM.2014.32018
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作者:
张海星
,
郝瑞亚
,
沈娟娟
,
甘双龙
:南通大学理学院,南通;
陈 浪
:南通大学杏林学院,南通
关键词:
快速扩散系统
;
有限时间熄灭
;
非局部源
;
Fast Diffusion System
;
Extinction in Finite Time
;
Nonlinear Sources
摘要:
本文研究了一类非局部p-Laplace方程
在一个有界域
(N>2)解的熄灭条件。
Abstract:
In this article, the authors establish conditions for the extinction of nonlocal solutions, in finite time, of a class of evolution p-Laplace equation
in a bounded domain
with N > 2 .
文章引用:
张海星, 郝瑞亚, 沈娟娟, 甘双龙, 陈浪. 带非局部源的p-Laplace发展方程解的熄灭[J]. 应用数学进展, 2014, 3(2): 119-126.
http://dx.doi.org/10.12677/AAM.2014.32018
参考文献
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Lin, Z.G. and Liu, Y.R. (2004) Uniform blow up profiles for diffusion equations with nonlocal source and nonlocal boundary. Acta Mathematica Scientia, 24, 443-450.
[
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陈玉娟 (2006) 非局部的退化抛物型方程组的解的爆破和整体存在性. 数学物理学报, 26A, 731-740.
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Fang, Z.B. and Xu, X.H. (2012) Extinction behavior of solutions for the p-Laplacian equations with nonlocal sources. Nonlinear Analysis: Real World Applications, 13, 1780-1789.
[
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Han, Y.Z. and Gao, W.J. (2011) Extinction for a fast diffusion equation with a nonlinear nonlocal source. Archiv der Mathematik, 97, 353-363.
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Tian, Y. and Mu, C.L. (2008) Extinction and non-extinction for a p-Laplacian equation with nonlinear source. Nonlinear Analysis, 69, 2422-2431.
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