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SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

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【作者】 姚正安； 周文书；

【Author】 Yao Zheng’an Department of Mathematics,Zhongshan University,Guangzhou 510275,China Zhou Wenshu Department of Mathematics,Zhongshan University,Guangzhou 510275,China Department of Mathematics,Jilin University,Changchun 130012,China

【机构】 Department of Mathematics Zhongshan University； Department of Mathematics； Zhongshan University； Guangzhou 510275； China； China Department of Mathematics； Jilin University； Changchun 130012；

【摘要】 <正>In this article,a degenerate and singular diffusion problem is studied.The ex- istence of solutions is established by parabolic regularization.Some properties of solutions, for instance,asymptotic behavior,are also discussed.

【Abstract】 In this article,a degenerate and singular diffusion problem is studied.The ex- istence of solutions is established by parabolic regularization.Some properties of solutions, for instance,asymptotic behavior,are also discussed.

【关键词】 Degenerate and singular diffusion equation； weak solution； existence； asymptotic behavior；
【Key words】 Degenerate and singular diffusion equation； weak solution； existence； asymptotic behavior；
【基金】 Supported by National Natural Science Foundation of China(10171113 and 10471156);Natural Science Foundation of GuangDong 2004(4009793).
  • 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2007年03期
  • 【分类号】O175.2
  • 【被引频次】2
  • 【下载频次】53
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