Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Gehring’s Lemma for kinetic Fokker-Planck equations
Gehring's lemma states that an L^p function that satisfies a reversed Hölder's inequality at every scale is in fact L^q for some q>p. We will see that such a lemma holds in the kinetic geometric setting. When applied to kinetic equations, such a lemma implies that the velocity gradient of a solution of a kinetic Fokker-Planck equation is not only square integrable (because of the natural energy estimate), but in L^{2+epsilon} for some epsilon >0.
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