well-posedness and blowup criterion of generalized porous medium equation in besov spaces
Abstract
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 prove a blowup criterion for the solution.
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239265
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