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Fujita Exponent for Porous Medium Equation with Convection and Nonlinear Boundary Condition

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【Author】 WANG Zejia and YIN Jingxue (Department of Mathematics, Jilin University, Changchun, 130012)

【机构】 Department of Mathematics； Jilin University； Changchun； 130012； 130012；

【摘要】 <正> 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.更多还原

【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.更多还原

【关键词】 porous medium equation； critical exponent； blow-up；
【Key words】 porous medium equation； critical exponent； blow-up；

【基金】 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.

【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2003年04期

【分类号】O175.26
【被引频次】3
【下载频次】37

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