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一类双重退化抛物方程局部解的存在性(英文)

Existence of Local Solutions to a Class of Doubly Degenerate Parabolic Equations

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【Author】 WANG Jian CHONG Shu-qiang GAO Wen-jie (Institute of Mathematics,Jilin University,Changchun,130012)

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

【摘要】 <正>This paper deals with a class of doubly degenerate parabolic equations, including as particular cases the porous medium equation and the degenerate p- Laplace equation（p＞2） u_t-div(b（x,t,u）|▽u|^p-2▽u)=f（x,u,t）. The initial-boundary value problem in a bounded domain of R^N is considered under mixed boundary conditions.The existence of local-in-time weak solutions is obtained.更多还原

【Abstract】 This paper deals with a class of doubly degenerate parabolic equations, including as particular cases the porous medium equation and the degenerate p- Laplace equation（p＞2） u_t-div(b（x,t,u）|▽u|^p-2▽u)=f（x,u,t）. The initial-boundary value problem in a bounded domain of R^N is considered under mixed boundary conditions.The existence of local-in-time weak solutions is obtained.更多还原

【关键词】 doubly degenerate parabolic equation； mixed boundary value problem； regularization；
【Key words】 doubly degenerate parabolic equation； mixed boundary value problem； regularization；

【基金】 The NSFC(10371050)and the“985”program of Jilin University.

【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2007年02期

【分类号】O175.26
【被引频次】2
【下载频次】27

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