快速扩散方程的第二临界指标及解的生命跨度

数学物理学报 ›› 2012, Vol. 32 ›› Issue (5): 904-913.

快速扩散方程的第二临界指标及解的生命跨度

李中平¹|徐思²|杜宛娟¹

1.西华师范大学数学与信息学院四川南充 637009|2.江西财经职业学院基础部江西九江 332000

收稿日期:2011-05-08 修回日期:2012-04-23 出版日期:2012-10-25 发布日期:2012-10-25
基金资助:
四川省教育厅自然科学重点项目(09ZA119)和四川省教育厅自然科学科研项目(09ZC011)资助

Secondary Critical Exponent and Life Span for a Fast Diffusion Equation

LI Zhong-Ping¹, XU Si², DU Wan-Juan¹

1.College of Mathematic and Information, China West Normal University, Sichuan Nanchong 637002|2.Department of Mathematics, Jiangxi Vocational College of Finance and Economics, Jiangxi |Jiujiang 332000

Received:2011-05-08 Revised:2012-04-23 Online:2012-10-25 Published:2012-10-25
Supported by:
四川省教育厅自然科学重点项目(09ZA119)和四川省教育厅自然科学科研项目(09ZC011)资助

摘要/Abstract

摘要：

主要考虑快速扩散方程的Cauchy问题, 根据初值在无穷远处的衰减行为建立第二临界指标, 并且也考虑爆破解的生命跨度.

关键词: 第二临界指标, 生命跨度, 快速扩散, 慢衰减初值

Abstract:

In this paper, we consider the positive solution to a Cauchy problem of a fast diffusion equation and give the secondary critical exponent on the decay asymptotic behavior of an initial value at infinity. Furthermore, the life span of the blow-up solution is also studied.

Key words: Secondary critical exponent, Life span, Fast diffusion equation, Slowly decay initial data

中图分类号:

35K50

李中平, 徐思, 杜宛娟. 快速扩散方程的第二临界指标及解的生命跨度[J]. 数学物理学报, 2012, 32(5): 904-913.

LI Zhong-Ping, XU Si, DU Wan-Juan. Secondary Critical Exponent and Life Span for a Fast Diffusion Equation[J]. Acta mathematica scientia,Series A, 2012, 32(5): 904-913.

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