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Well-posedness and blowup criterion of generalized porous medium equation in Besov spaces

We study the generalized porous medium equation of the form $u_t+\nu \Lambda^{\beta}u=\nabla\cdot(u\nabla Pu)$ 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...

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Autori principali: Xuhuan Zhou, Weiliang Xiao, Taotao Zheng
Natura: Artigo
Lingua:Inglês
Pubblicazione: Texas State University 2015-10-01
Serie:Electronic Journal of Differential Equations
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Accesso online:http://ejde.math.txstate.edu/Volumes/2015/261/abstr.html
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