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SUMMARY:Sebastian Schwarzacher (Charles University Prague)
DTSTART:20200714T131500Z
DTEND:20200714T141500Z
DTSTAMP:20260423T003301Z
UID:OSAnaProb/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSAnaProb/7/
 ">Higher integrability estimates for parabolic PDEs with fast or slow diff
 usion</a>\nby Sebastian Schwarzacher (Charles University Prague) as part o
 f Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIn the talk we
  discuss some recent results on self-improving properties for gradients of
  solutions for parabolic evolutions with fast or slow diffusion. The model
  case is the porous medium equation. We show how local higher integrabilit
 y estimates can be derived via the celebrated Gehring lemma. The estimates
  rely on a Calderon Zygmund theory that is developed with respect to an in
 trinsic metric that depends on the solution\; taking into account the loca
 l speed of the diffusion. The concept turns out to be flexible enough to s
 how self-improving properties for large classes of diffusions depending on
  the solution and the gradient.\n
LOCATION:https://researchseminars.org/talk/OSAnaProb/7/
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