Topics in Parabolic-Stochastic Hyperbolic Partial Differential Equations

This course continues the study of the “Stochastic Hyperbolic Parabolic EDPs” given in the second half of 2018, which are practically self-contained [HF] Notes available online. The focus in this period will be the paper by B. Guess and M. Hofmanová, in [GH], whose main result is the extension of the Lemma Averaging of E. Tadmor and T. Tao [TT] for the stochastic case.

References:
[HF] Frid, H. “Lectures on  Notes on Stochastic Nonlinear Degenerate Parabolic-Hyperbolic Equations”. Available online in www.impa.br/~hermano.
[GH] Gess, B., Hofmanová, M. Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. The Annals of Probability, 2018, Vol. 46, No. 5, 2495-2544.
[TT] Tadmor, E., Tao, T. Velocity averaging, kinetic formulations, and regularizing effects in quasi-linear PDEs. Comm. Pure Appl. Math. Vol. LX, 1448–1521 (2007).