Xuhuan Zhou, Weiliang Xiao, Taotao Zheng
Abstract:
We study the generalized porous medium equation of the form
where P is an abstract operator. We obtain the local well-posedness
in Besov spaces for large initial data, and show the solution becomes
global if the initial data is small.
Also, we prove a blowup criterion for the solution.
Submitted June 25, 2015. Published October 7, 2015.
Math Subject Classifications: 35K15, 35K55, 35Q35, 76S05.
Key Words: Generalized porous medium equation; well-posedness;
blowup criterion; Besov spaces.
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Xuhuan Zhou Department of Mathematics, Zhejiang University Hangzhou 310027, China email: zhouxuhuan@163.com | |
Weiliang Xiao chool of Applied Mathematics Nanjing University of Finance and Economics Nanjing 210023, China email: xwltc123@163.com | |
Taotao Zheng Department of Mathematics Zhejiang University of Science and Technology Hangzhou 310023, China email: taotzheng@126.com |
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