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A Note to the Cauchy Problem for the Degenerate Parabolic Equations with Strongly Nonlinear Sources 被引量:1

A Note to the Cauchy Problem for the Degenerate Parabolic Equations with Strongly Nonlinear Sources
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机构地区 School of Mathematics
出处 《Journal of Partial Differential Equations》 2009年第3期199-204,共6页 偏微分方程(英文版)
基金 The research is supported in part by the National Natural Science Foundation of China (No. 10131050).
关键词 CAUCHY问题 退化抛物方程 非线性源 不存在性 不等式 Nonlinear sources global solutions nonexistence.
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参考文献4

  • 1Andreucci D, DiBenedetto E. On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Ann Scuola Norm Sup Pisa, 1991, 18: 363-441.
  • 2Qi Y W. The critical exponents of parabolic equations and blow-up in Rn. Science In China, Ser A, 1995, 38: 1153-1162.
  • 3Kartsatos A G, Kurta V V. On a Liouville-type theorem and the Fujita blow-up phenomenon. Proc Amer Math Soc, 2003, 132(3): 807-813.
  • 4Zhao J. On the Cauchy problem and initial traces for evolution p-Laplacian equations with strongly nonlinear sources. J DiffEqs, 1995, 121: 329-383.

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