16 citations · 38 across the 9 of their papers we have counts for
6 papers · 1 filter
Pathwise Global-in-Time Existence for the generalised KPZ Equation in the Full Subcritical Regime
Jonas Sauer, Rhys Steele
We provide a pathwise proof of global-in-time well-posedness for the generalised KPZ equation in the full subcritical regime by an adaptation of the strategy recently applied to th…
A priori bounds for quasi-linear SPDEs in the full sub-critical regime
Felix Otto, Jonas Sauer, Scott Smith +1
This paper is concerned with quasi-linear parabolic equations driven by an additive forcing , in the full sub-critical regime . We are inspired by Hairer'…
The Initial Value Problem for Singular SPDEs via Rough Paths
Claudia Raithel, Jonas Sauer
In this contribution we develop a solution theory for singular quasilinear stochastic partial differential equations subject to an initial condition. We obtain our solution theory…
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…
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.…
On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type
Mads Kyed, Jonas Sauer
Time-periodic solutions to partial differential equations of parabolic type corresponding to an operator that is elliptic in the sense of Agmon-Douglis-Nirenberg are investigated.…