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math.PR2016
Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE
Benjamin Gess, Martina Hofmanová
We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with general multiplicative noise within the framework of kinetic solutions. Our resu…
math.AP2016
A priori estimates for rough PDEs with application to rough conservation laws
Aurélien Deya, Massimiliano Gubinelli, Martina Hofmanová +1
We introduce a general weak formulation for PDEs driven by rough paths, as well as a new strategy to prove well-posedness. Our procedure is based on a combination of fundamental a…