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一类拟线性反应扩散方程的全局解 被引量：2

The GLobal Solutions of Quasilinear Reaction Diffusion Equations
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摘要 利用Hardy不等式和Poincare不等式 。 We consider the existence and asymptotic estimates of global solutions of quasilinear reaction diffusion equations by using Hardy inequality and Poincare inequatity.
作者 王萍
机构地区 株洲职业技术学院
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2001年第3期31-33,共3页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目 ( 90 0 710 18)
关键词 反应扩散方程 整体解 渐进估计 全局解 reaction diffusion equation global solution asymptotic estimates
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献8

  • 1[1]PAOCV. Nonlinear parabiic and Elliptic equation[M]. new York and Lon[on: Plenurn Press,1992.
  • 2[2]FUJITA H. On the blowing up of solutions of the Cauchy problem for ut =△u + u1+a[J].J Fac Sci Uni. Tokyo Sec I,1966,13:109-124.
  • 3[3]LEVINEHA. The role of critical exponents in blow up theorems [J]. Ham Rev, 1990,32,262-288.
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同被引文献20

  • 1FUJITA H.On the blowing up of solutions of the Cauchy problem for ut = △u + u^1+а[J].J Fac Sei,Univ Tokyo Sect Ⅰ,1966,13:109-124.
  • 2LEVINE H.The role of critical exponents in blow-up theorems[J].SIAM Review,1990,32:262-288.
  • 3MEIER P.Blow-up of solutions of semilinear parabolic differential equations[J].Z Angew Math Phys,1988,39:135-149.
  • 4MEIER P.Existence et non-existence de solutions globales d'une équation de la chaleur semi-linéaire:extension d'un théorème de Fujita[J].C R Acad Sei,Paris Sér 1,1986,303:635-637.
  • 5PINSKY R G.Existence and nonexistence of global solutions for ut =△u +а(x)up in R^d[J].J D E,1997,133:152-177.
  • 6ESCOBEDO M,HERRERO M A.Boundedness and blow up for a semilinear reaction-diffusion system[J].J D E,1991,89:176-202.
  • 7RENCLAWOWICZ J.Global existence and blow-up of solutions for a completely coupled Fujita type system of reaction-diffusion equations[J].Appl Math,199g,25(3):313-326.
  • 8Paolo Caldiroli,Roberta Musina.On a variational degenerate elliptic problem[J],2000.
  • 9Giorgio Talenti.Nonlinear elliptic equations, rearrangements of functions and orlicz spaces[J],1979.
  • 10GARCA-MELIJ,SABLINA DE LIS J.Maximum and comparison principles for operators involving the p-LaplacianJ Math Analysis Appl,1998.

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湖南师范大学自然科学学报
2001年 第3期

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