Hölder regularity of solutions to a non-local drift-diffusion equation, along a non-solenoidal BMO flow

4 Jul 2021, 15:50


Ioann Vasilyev (Universite Paris Saclay)


In this talk, we shall show how to apply methods of the real harmonic analysis in order to prove the critical Hölder regularity of solutions to a critical non-local transport-diffusion equation, in case when the velocity field is in BMO and is not necessarily divergence free. Our proofs are inspired by some ideas of F. Nazarov and A. Kiselev. The talk is based on a recent joint work with F. Vigneron.

Primary author

Ioann Vasilyev (Universite Paris Saclay)

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