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}
}
  • B. Gess, M. Rockner
  • Published 2014
  • Mathematics
  • Transactions of the American Mathematical Society
  • 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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