Xuhuan Zhou, Weiliang Xiao, Taotao Zheng
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
| Weiliang Xiao |
chool of Applied Mathematics
Nanjing University of Finance and Economics
Nanjing 210023, China
| Taotao Zheng |
Department of Mathematics
Zhejiang University of Science and Technology
Hangzhou 310023, China
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