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Boundary hypoelliptic regularization in kinetic equations

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If you have a question about this talk, please contact Zexing Li.

We consider the kinetic Fokker-Planck equation with rough coefficients, which is a linear counterpart of the Landau equation and is formally hypoelliptic of type II in Hörmander’s terminology. Complementing the equation with inflow or reflection boundary conditions in a bounded domain, we will discuss the renormalization and regularization properties of the solutions up to the boundary.

This talk is part of the Partial Differential Equations seminar series.

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