Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations

@article{Gess2015SingularDegenerateMS,
  title={Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations},
  author={B. Gess and M. R{\"o}ckner},
  journal={SIAM J. Math. Anal.},
  year={2015},
  volume={47},
  pages={4058-4090}
}
  • B. Gess, M. Röckner
  • Published 2015
  • Mathematics, Computer Science
  • SIAM J. Math. Anal.
  • We consider singular-degenerate, multivalued stochastic fast diffusion equations with multiplicative Lipschitz continuous noise. In particular, this includes the stochastic sign fast diffusion equation arising from the Bak--Tang--Wiesenfeld model for self-organized criticality. A well-posedness framework based on stochastic variational inequalities (SVI) is developed, characterizing solutions to the stochastic sign fast diffusion equation, previously obtained in a limiting sense only. Aside… CONTINUE READING
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