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Daily Overview |
| Session | |
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RAR1: Recent advances in regularity theory for PDEs Location: M628 Session Chair: Simon Nowak Session Chair: Marvin Weidner | |
| Presentation 1 | |
Regularity aspects of kinetic PDEs Ulm University, Germany I will discuss various regularity aspects of Kolmogorov type equations from kinetic theory, in particular kinetic maximal $L_p$-regularity in the strong setting as well as boundedness, Harnack- and Hölder estimates for problems with rough coefficients. I will further explain the new method of critical kinetic trajectories, which allows to prove several sharp functional analytic estimates such as the kinetic Sobolev inequality with optimal exponent, without relying on the fundamental solution. This is joint work with Lukas Niebel and partly with Helge Dietert and Clément Mouhot. | |



