| Abstract: |
| Gehring`s lemma states that a function satisfying a reverse Holder inequality on subdomains has improved integrability. Originally introduced by Gehring in connection with open problems in quasiconformal mapping, it has since been adapted to study higher integrability properties of gradients of solutions to elliptic and parabolic equations. In this talk I present results obtained in different collaborations: with Cyril Imbert and Clement Mouhot for the kinetic Fokker Planck equation and with Francesca Anceschi and Teresa Isernia for nonlinear ultraparabolic equations. The key step is the establishment of a Gehring type lemma on kinetic and ultraparabolic cylindrical subdomains. |
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