Non-autonomous rough semilinear PDEs and the multiplicative Sewing lemma

On a rough perturbation of the Navier–Stokes system and its vorticity formulation

(2021) Martina Hofmanová et al.   ANNALS OF APPLIED PROBABILITY

Pathwise mild solutions for quasilinear stochastic partial differential equations

(2020) Christian Kuehn et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Quasilinear rough partial differential equations with transport noise

(2020) Antoine Hocquet   JOURNAL OF DIFFERENTIAL EQUATIONS

Rough flows

(2019) Ismaël BAILLEUL et al.   JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN

Local mild solutions for rough stochastic partial differential equations

(2019) Robert Hesse et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A priori estimates for rough PDEs with application to rough conservation laws

(2019) Aurélien Deya et al.   JOURNAL OF FUNCTIONAL ANALYSIS

An energy method for rough partial differential equations

(2018) Antoine Hocquet et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient

(2018) Charles-Edouard Bréhier et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

On the Navier–Stokes equation perturbed by rough transport noise

(2018) Martina Hofmanová et al.   JOURNAL OF EVOLUTION EQUATIONS

Rough path stability of (semi-)linear SPDEs

(2013) Peter Friz et al.   PROBABILITY THEORY AND RELATED FIELDS

A non-commutative sewing lemma

(2012) Denis Feyel et al.   ELECTRONIC COMMUNICATIONS IN PROBABILITY

A Discrete Approach to Rough Parabolic Equations

(2012) Aurélien Deya   ELECTRONIC JOURNAL OF PROBABILITY

Is the stochastic parabolicity condition dependent on $p$ and $q$?

(2012) Zdzislaw Brzezniak et al.   ELECTRONIC JOURNAL OF PROBABILITY

Numerical Schemes for Rough Parabolic Equations

(2011) Aurélien Deya   APPLIED MATHEMATICS AND OPTIMIZATION

Non-linear rough heat equations

(2011) A. Deya et al.   PROBABILITY THEORY AND RELATED FIELDS

A (rough) pathwise approach to a class of non-linear stochastic partial differential equations

(2010) Michael Caruana et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Rough evolution equations

(2010) Massimiliano Gubinelli et al.   ANNALS OF PROBABILITY

LOCALLY CONVEX VECTOR TOPOLOGIES ON B(X, Y)

(2009) Chang-Sun Choi et al.   JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY