| Abstract: |
| In this talk we provide an overview of the homogeneous Landau equation and present recent results concerning regularization effect for weak solutions. We show that for moderately soft potentials the estimates only depends on the mass, energy and entropy. For general potentials, a similar regularization takes place provided an additional condition is satisfied uniformly over time. The main feature of the proofs is the analysis of the Landau operator as a Schroedinger operator whose coefficients are Ap-weights. This is a joint work with Nestor Guillen. |
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