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Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition
引用本文:王泽佳,尹景学. Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition[J]. 东北数学, 2003, 0(4)
作者姓名:王泽佳  尹景学
作者单位:Department of Mathematics,Jilin University,Changchun,130012,Department of Mathematics,Jilin University,Changchun,130012
基金项目:Foundation item: This work is partially supported by the grant for the project of the MOST of China, and partially supported by NNSF (10125107) of China.
摘    要:This paper is concerned with the critical exponent of the porous medium equation with convection and nonlinear boundary condition. It is shown that the coefficient of the lower order term is an important factor that determines the critical exponent.


Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition
WANG Zejia and YIN Jingxue. Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition[J]. Northeastern Mathematical Journal, 2003, 0(4)
Authors:WANG Zejia and YIN Jingxue
Abstract:This paper is concerned with the critical exponent of the porous medium equation with convection and nonlinear boundary condition. It is shown that the coefficient of the lower order term is an important factor that determines the critical exponent.
Keywords:porous medium equation   critical exponent   blow-up
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