AAM  >> Vol. 3 No. 2 (May 2014)

    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

  • 全文下载: PDF(437KB) HTML   XML   PP.119-126   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。

In this article, the authors establish conditions for the extinction of nonlocal solutions, in finite time, of a class of evolution p-Laplace equationin 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

[1] Kalashnikov, A.S. (1974) The propagation of disturbances in problems of nonlinear heat conduction with absorption. USSR Computational Mathematics and Mathematical Physics, 14, 70-85.
[2] Lair, A.V. (1993) Finite extinction time for solutions of nonlinear parabolic equations. Nonlinear Analysis: Theory, Methods & Applications, 21, 1-8.
[3] Lair, A.V. and Oxley, M.E. (1994) Extinction in finite time for a nonlinear absorption diffusion equation. Journal of Mathematical Analysis and Applications, 182, 857-866.
[4] Lair, A.V. and Oxley, M.E. (1994) Finite extinction time for a nonlinear parabolic Neumann boundary value problem. Applied Analysis, 55, 41-50.
[5] 顾永耕 (1994) 抛物型方程的解熄灭的充要条件. 数学学报, 37, 73-79.
[6] Li, Y.X. and Wu, J.C. (2005) Extinction for fast diffusion equations with nonlinear sources. Electronic Journal of Dif- ferential Equations, 2005, 1-7.
[7] Wang, M.X. and Wang, Y.M. (1996) Properties of positive solutions for non-local reaction-diffusion problems. Ma- thematical Methods in the Applied Sciences, 19, 1141-1156.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] Tian, Y. and Mu, C.L. (2008) Extinction and non-extinction for a p-Laplacian equation with nonlinear source. Nonlinear Analysis, 69, 2422-2431.