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带有非局部源项的发展方程全局解的不存在性 被引量:1

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摘要 通过试验函数法,本文讨论了具有形如‖u‖p或‖Du‖p的非局部源项的发展方程全局解的不存在性。
出处 《南京大学学报(数学半年刊)》 CAS 2004年第2期213-218,共6页 Journal of Nanjing University(Mathematical Biquarterly)
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参考文献7

  • 1Pao C V. Blowing-up of Solution for a Nonlocal Reactive-Diffusion Problem in Combustion Theory, J. Math. Anal. Appl. , 1992, 166(2) : 591-600.
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同被引文献6

  • 1Fujita H.On the blowing up of solutions of the Cauchy problem for u1-△u=u^1+a[J].J Fac Sci Univ Toyko Sect I,1966,13:109-124.
  • 2Levine H A.The role of critical exponents in blow-up theorems[J].SIAM Rev,1990,32:262-288.
  • 3Bebernes J,Bressan A.Thermal behavior for a confined reactive gas[J].J Diff Eqns,1982,44:118-133.
  • 4Gennady G L.Nonexistence results for higher-order evolution partial differential inequalities[J].Proc Amer Math Soc,2002,131(2):415-423.
  • 5Mitidieri E,Pohozaev S I.Absence of global positive solutions of quasilinear elliptic inequalities[J].Dokl Akad Nauk,1998,359(4):456-460.
  • 6王术,谢春红.非局部反应扩散方程的临界爆破指标[J].数学学报(中文版),1998,41(2):261-266. 被引量:3

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