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一类半线性抛物方程组的爆破临界指标 被引量:5

BLOWING UP CRITICAL EXPONENT FOR A CLASS OF SEMILINEAR PARABOLIC SYSTEMS
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摘要 本文考察一类半线性抛物方程组的Cauchy问题,计算出了该问题的爆破临界指标. Abstract The Cauchy problem for a class of semilinear systems is considered in this paper, and blowing up critical exponent for the above problem is evaluated.
作者 戴求亿
出处 《应用数学学报》 CSCD 北大核心 2002年第2期339-346,共8页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10171029号)资助项目.
关键词 半线性抛物型方程组 CAUCHY问题 爆破临界指标 Semilinear parabolic systems, Cauchy problem, blowing up critical exponent
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参考文献6

  • 1[1]Fujita H. On the Blowing up of Solutions of the Cauchy Problem for ut=△u+u1+α. J. Fac. Sci.,Univ. Tokyo Sect. I, 1966, 13:109-124
  • 2[2]Bandle C, Levine H A. On the Existence and Nonexistence of Global Solution of Reaction-diffusion Equations in Sectorial Domains. Trans. Amev. Math. Soc., 1989, 316:595-622
  • 3[3]Levine H. The Role of Critical Exponents in Blow-up Theorems. SIAM Rew., 1990, 32:262-288
  • 4[4]Pinsky R G. Existence and Nonexistence of Global Solutions for ut=△u+a(x)uP in Rd. J.D.E., 1997,133:152-177
  • 5[5]Escobedo M, Herrero M A. Boundness and Blow-up for a Semiinear Reaction-diffusion Systems.J.D.E., 1991, 89:176-202
  • 6[6]Escobedo M, Herrero M A. A Semilinear Paraolic System in a Bounded Domain. Annali di Math.Pura ed Appl. (Ⅳ), 1993, 115:315-336

同被引文献34

  • 1李慧玲.一个非线性抛物型方程正解的性质[J].中国科学(A辑),2007,37(3):257-273. 被引量:7
  • 2Qi Y W.The critical exponents of parabolic equationsand blow-up in RN [J].Proc.Roy.Soc.Edinburgh.Sect,1998,128A:123-136.
  • 3Esoobedo M,Herrero MA.Boundednessand blow-upfor a semilinearreaction-diffusion systems[J].J.Diff.Eq,1991,89:176-202.
  • 4Escobedo M,Herrero MA.A semilinearparabolic system in a boundeddomain[J].Annali diMath.PuraAppl.(Ⅳ),1993,115:315-336.
  • 5Fujita.H,On the Blowing up of Solutions of the Cauchy Probem for u1= Δu+u^1+α[J].Fac.SciUniv.Tokyo sect.I, 1966,13:109-124.
  • 6Bandle C,LevineH A.On the existence and Nonexistence of Global Solution of reactin-diffusion Equations in Secterial Domains [J]. Trans.Amer, Math.soc, 1989,316:595-622.
  • 7LevineH.TheRoleofcriticalExponentsnBlow -upTheorems [J].SIAMRew, 1990,32:262-288.
  • 8Pinsky R G. Existence and Nonexistence of Global Solutions for u1= Δu+a(x)u^pinRd [J].j.d.e.1997,133:152-177.
  • 9Escobedo M A.A Semilinear Paraolic System in a Bounded Domain[J]. Annalidz Math.Pura ed Avvl.(Ⅳ), 1993.115:315-336.
  • 10FUJITA 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.

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