PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL NONLINEAR DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION

PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL NONLINEAR DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION

This article deals with the global existence and blow-up of positive solution of a nonlinear diffusion equation with nonlocal source and nonlocal nonlinear boundary condition. We investigate the influence of the reaction terms, the weight functions and the nonlinear terms in the boundary conditions...

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Veröffentlicht in:Acta mathematica scientia 2014-05, Vol.34 (3), p.748-758
1. Verfasser: 李玉环 米永生 穆春来
Format: Artikel
Sprache:eng
Schlagworte:
35B35
35K57
35K60
35K65
blow-up
blow-up rate
Boundary conditions
Diffusion
Estimates
Hypotheses
Mathematical analysis
Nonlinearity
Nonlocal boundary condition
Porous medium equation
Weight function
性质
整体存在性
权重函数
正解
非局部源
非线性扩散方程
非线性边界条件
非线性项
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Beschreibung
Zusammenfassung:This article deals with the global existence and blow-up of positive solution of a nonlinear diffusion equation with nonlocal source and nonlocal nonlinear boundary condition. We investigate the influence of the reaction terms, the weight functions and the nonlinear terms in the boundary conditions on global existence and blow up for this equation. Moreover, we establish blow-up rate estimates under some appropriate hypotheses.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60046-1