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Existence of weak solutions for fast diffusion equation with a divergence type of drift term

Existence of weak solutions for fast diffusion equation with a divergence type of drift term

This paper investigates fast diffusion equations with a divergence type of drift term. We establish the existence of nonnegative $L^q$-weak solutions which satisfies energy estimates or even further with speed estimates in Wasserstein spaces under assuming certain classes for the drift that are differ from those in porous medium equations. …