期刊文献+

热方程的三抛物面定理和解的唯一性

Three-Paraboloid-Theorem of Heat Function and the Unique Theorem of Solution
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摘要 该文给出了关于超曲面族(x21+…+x2n)/(t0-t)=ρ,满足Δu-ut 0的函数的三抛物面定理和热方程解的唯一性结果. Three-Paraboloid-Theorem for functions about supercurved surface family(x12+…+xn2)/(t0-t)=p,satisfying△U-Ut≥0 and the unique result of solution of heat function are obtained.
出处 《山西大同大学学报(自然科学版)》 2007年第4期21-23,共3页 Journal of Shanxi Datong University(Natural Science Edition)
基金 国家自然科学基金资助项目[10671022]
关键词 三抛物面定理 超曲面族 解的唯一性 three paraboloid theorem supercurved surface family the unique result of solutions of heat function
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参考文献4

  • 1Protter M H,Weinberger H F.Maxinum principles in differential equations[]..1986
  • 2Heinonen J,Kilpelainen T,Martio O.Nonlinear potential theory of degenerate elliptic equations[]..1993
  • 3Gerasimov K.The three spheres theorem for a certain class of elliptic equations of high order and a refinement of this theo-rem for a linear elliptic equation of the second order[].MatSb(NS).1966
  • 4Kovats J.A three curves theorem for viscosity subsolutions of parabolic equations[].Proceedings of the MAS.2003

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