Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions

王文海

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Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions

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- Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions
- 具非局部源和非局部边界条件抛物方程组解的性质
- Vol. 33, Issue 4, Pages: 372-375(2012)
- 作者机构：
  
  西安工业大学理学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：2012
- 稿件说明：
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王文海. Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions[J]. 2012, 33(4): 372-375.
DOI：

王文海. Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions[J]. 2012, 33(4): 372-375. DOI：

摘要

研究了一类带有非局部Dirichlet边界条件

反应项为非局部源项的退化抛物方程组解的性质.运用比较定理和构造上、下解方法

给出该问题解的整体存在和在有限时刻爆破的充分条件.由此得到

当反应项和扩散项的指数满足不同条件时

方程组的解具有不同的性质.

Abstract

The properties of solutions to a degenerate parabolic system with nonlocal sources

which subject to nonlocal Dirichlet boundary conditions

were considered.By using comparison principle and the upper-lower solution method

the conditions for the global existence and the finite blow-up of solution to the system are established.The solution of system has different properties when the exponential satisfied different conditions.

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references

Chadam J M,Pieirce A,Yin Hongming.The blow-upproperty of the solution to some diffusion withlocalized nonlinear reactions[J].J.Math Ann Appl,1992,169:313-328.

Souplet P.Blow up in nonlocal reaction diffusionequations[J].SIAM J.Math Anal,1998,29:1301-1334.

Souplet P.Uniform blow-up profiles and boundarybehavior for diffusion with nonlocal nonlinear source[J].J.Diff.Equation,1999,153:374-406.

Lin Zhigui,Liu Yurong.Uniform blowup profiles fordiffusion equations with nonlical source and nonlocalboundary[J].Acta Math Sci Ser B,2004,24:443-450.

孔令花,王明新.带有非局部源和非局部边界条件的抛物型方程组解的爆破性质[J].中国科学,2007,37(7):817-832.

Li Fucai,Huang Shuxiang,Xie Chunhong.Globalexistence and blow-up of solution to a nonlocalreaction diffusion system[J].Discrete Contin DynamSystems,2003,9:1519-1532.

Wang Yulan,Mu Chunlai,Xiang Zhaoyin.Blowup ofsolutions to a porous medium equation with nonlocalboundary condition[J].Appl Math Comput,2007,192:579-585.

Cui Zhoujin,Yang Zuodong.Roles of weightfunctions to a nonlinear porous medium equationwith nonlocal source and nonlocal boundarycondition[J].J.Math Anal Appl.,2008,342:559-570.

Deng Weibing.Global existence and finite time blow-up for a degenerate reaction-diffusion system[J].Nonlinear Anal,2005,60:977-991.

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