期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES 被引量：3

CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES
下载PDF
导出
摘要 This paper is concerned with the evolutionary p-Laplacian with interior and boundary sources.The critical exponents for the nonlinear sources are determined. This paper is concerned with the evolutionary p-Laplacian with interior and boundary sources.The critical exponents for the nonlinear sources are determined.
作者 尹景学 金春花 杨莹
机构地区 School of Mathematical sciences South China Normal University Department of Mathematics Jilin University
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期778-790,共13页 数学物理学报（B辑英文版）
基金 supported by NSFC Research Fundfor the Doctoral Program of Higher Education of China,Fundamental Research Project of Jilin University(200903284) Graduate Innovation Fund of Jilin University(20101045)
关键词 critical exponent P-LAPLACIAN global existence BLOW-UP critical exponent p-Laplacian global existence blow-up
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献19

  • 1Filo J. Diffusivity versus absorption through the boundary. J Diff Eqns, 1992, 99:281-305.
  • 2Levine H A, Payne L E. Nonexistence theorems for the heat equation with nonlinear boundary conditions and for porous medium equation backward in time. J Diff Eqns, 1974, 16:319-334.
  • 3Fujita H. On the blowing up of solutions to the cauchy problems for ut = Δu + u^1+α. J Fac Sci Univ Tokyo Sect IA Math, 1996, 13:109-124.
  • 4Deng K. The role of critical exponents in blow-up theorems: the sequel. J Math Anal Appl, 2000, 243: 85-126.
  • 5Quires F, Rossi J D. Blow-up sets and fujita type curves for a degenerate parabolic system with nonlinear boundary conditions. Indiana Univ Math J, 2001, 50:629 654.
  • 6Jin C H, Yin J X. Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources. Nonlin Anal, 2007, 67:2217 2223.
  • 7Pablo A D, Quirds F, Rossi J D. Asymptotic simplification for a reaction-liffusion problem with a nonlinear boundary condition. IMA J Appl Math, 2002, 67:69 98.
  • 8Song X F, Zheng S N. Blow-up and blow-up rate for a reaction diffusion model with multiple nonlinearities. Nonlin Anal, 2003, 54:279- 289.
  • 9Jiang Z X, Zheng S N, Song X F. Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary conditions. Appl Math Lett, 2004, 17:193 -199.
  • 10Andreu F, Mazen J M, Toledo J, Rossi J D. Porous medium equation with absorption and a nonlinear boundary condition. Nonlin Anal, 2002, 49:541 -563.

同被引文献6

引证文献3

Acta Mathematica Scientia
2011年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部