12 citations · 16 across the 10 of their papers we have counts for
4 papers · 1 filter
Unbounded rough drivers, rough PDEs and applications
Antoine Hocquet, Martina Hofmanova, Torstein Nilssen
A summary of recent contributions in the field of rough partial differential equations is given. For that purpose we rely on the formalism of ``unbounded rough driver''. We present…
Non-autonomous rough semilinear PDEs and the multiplicative Sewing Lemma
Andris Gerasimovics, Antoine Hocquet, Torstein Nilssen
We investigate existence, uniqueness and regularity for local solutions of rough parabolic equations with subcritical noise of the form $du_t- L_tu_tdt= N(u_t)dt + \sum_{i = 1}^dF_…
An energy method for rough partial differential equations
Antoine Hocquet, Martina Hofmanová
We present a well-posedness and stability result for a class of nondegenerate linear parabolic equations driven by rough paths. More precisely, we introduce a notion of weak soluti…
A semi-discrete scheme for the stochastic Landau-Lifshitz equation
François Alouges, Anne De Bouard, Antoine Hocquet
We propose a new convergent time semi-discrete scheme for the stochastic Landau-Lifshitz-Gilbert equation. The scheme is only linearly implicit and does not require the resolution…