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Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off
We show that in the setting of the spatially homogeneous Boltzmann equation without cut-off, the entropy dissipation associated to a function f \in L^1(\mathbb R^N) yields a control of \sqrt f in Sobolev norms as soon as f is locally bounded below. Under this additional assumption of lower bound our …