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math.AP2014
Weak solutions for a stochastic mean curvature flow of two-dimensional graphs
Martina Hofmanova, Matthias Roeger, Max von Renesse
We study a stochastically perturbed mean curvature flow for graphs in over the two-dimensional unit-cube subject to periodic boundary conditions. In particular, we e…
math.NA2014
A regularity result for quasilinear stochastic partial differential equations of parabolic type
Arnaud Debussche, Sylvain De Moor, Martina Hofmanova
We consider a quasilinear parabolic stochastic partial differential equation driven by a multiplicative noise and study regularity properties of its weak solution satisfying classi…