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带有非线性边界条件的非线性抛物型方程解的Blow-up 被引量:1

Blow - up Problems for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
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摘要 利用凸性方法讨论带有非线性边界条件的非线性抛物型方程的非负解的Blow-up. This paper deals with the nonlinear parabolic equations withlinear boundary conditions and nonnegative initial value u(x,0) = . It is proved that the positive solution blows up in finite time if cinditions (3) , (4) and(15) hold.
作者 罗党
出处 《河南大学学报(自然科学版)》 CAS 1993年第2期93-96,共4页 Journal of Henan University:Natural Science
关键词 非线性 抛物型方程 BLOW-UP Nonlinear parabolic equations, Nonlinear boundary conditions,Convex method, Blow - up.
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同被引文献5

  • 1Levine, H A;Payne, L.E Nonexistence theorems for the heat equation with a nonlinear boundary conditions and for the porous medium equation backward in time,1974.
  • 2Walter, W.On existence and nonexistence in the large of solutions of parabolic equations with a nonlinear boundary conditions,1975(01).
  • 3Wang, M X;Wu, Y H.Global existence and blow - up problems for quasilinear parabolic equations with non - linear boundary conditions,1993(06).
  • 4Pachpatte, B G.查看详情,1986.
  • 5张海亮,贾新春.具非线性边界条件的拟线性抛物型方程解的Blow-up[J].数学杂志,2002,22(2):195-198. 被引量:10

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