# Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations

@article{Gess2014StochasticVI, title={Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations}, author={B. Gess and M. Rockner}, journal={Transactions of the American Mathematical Society}, year={2014}, volume={369}, pages={3017-3045} }

The regularity and characterization of solutions to degenerate, quasilinear SPDE is studied. Our results are two-fold: First, we prove regularity results for solutions to certain degenerate, quasilinear SPDE driven by Lipschitz continuous noise. In particular, this provides a characterization of solutions to such SPDE in terms of (generalized) strong solutions. Second, for the one-dimensional stochastic mean curvature flow with normal noise we adapt the notion of stochastic variational… CONTINUE READING

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