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math.AP2019
Optimal regularity in time and space for the porous medium equation
Benjamin Gess, Jonas Sauer, Eitan Tadmor
Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of th…
math.AP2018
Parabolic equations with rough coefficients and singular forcing
Felix Otto, Jonas Sauer, Scott Smith +1
This article focuses on parabolic equations with rough diffusion coefficients which are ill-posed in the classical sense of distributions due to the presence of a singular forcing.…