期刊文献+

退化的反应扩散方程组解的全局存在及其爆破

Global Existence and Blow-up of Solutions for Degenerate Reaction-Diffusion System
下载PDF
导出
摘要 利用正则化方法讨论了一类退化方程组初边值问题的古典解的存在性 ,构造特征函数 ,通过上。 In this paper, the initial boundary value problem of the degenerate reaction diffusion systems is studied, the regularization method and upper and lower solutions technique are employed to show the existence of classical solutions. The global existence and blow up are discussed and some sufficient conditions of global and blow up solutions are given.
作者 李梅
出处 《徐州师范大学学报(自然科学版)》 CAS 2002年第3期23-27,共5页 Journal of Xuzhou Normal University(Natural Science Edition)
关键词 反应扩散方程组 古典解 解的存在性 下解 初边值问题 充分条件 全局 函数 方法 degenerate reaction diffusion system classical solution global solution weak coupling blow up
  • 相关文献

参考文献9

  • 1Floater M S.Blow-up at the boundary for degenerate semilinear parabolic equations[J].Arch Rat Mech Anal, 1991,114:57.
  • 2Chan C Y,Liu H T.Global existence of solution for degenerate semilinear parabolic problems[J].Nonlinear Analysis,1998,34:619.
  • 3Pao C V.Nonlinear Parabolic and Elliptic Equations[M].New York:Plenum, 1992.381-458.
  • 4Fridman A,Giga Y.A single blow-up for solutions of nonlinear parabolic systems[J].J Fac Sci Univ Tokyo Sect, 1987,34(1):65.
  • 5Escobedo M,Herrero M A.A semilinear parabolic system in a bounded domain[J].Ann Mat Pura Appl, 1993,165(4):315.
  • 6Escobedo M,Levine H A.Gritical blow-up and global existence numbers for weakly coupled system of differential equations[J].Arch Rat Mech Anal,1995,129:47.
  • 7Caristi G,Mitidieri E.Blow-up estimates of positive solutions of a parabolic equations[J].J Differential Equations,1994,113:171.
  • 8Chen H W.Global existence and blow-up for a nonlinear reaction-diffusion system[J].J M A A,1997,212:481.
  • 9李梅.退化的半线性抛物方程解的全局存在及爆破[J].南京农专学报,1999,15(3):8-13. 被引量:1

二级参考文献1

  • 1M. S. Floater. Blow-up at the boundary for degenerate semilinear parabolic equations[J] 1991,Archive for Rational Mechanics and Analysis(1):57~77

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