Ergodicity and Local Limits for Stochastic Local and Nonlocal p-Laplace Equations

@article{Gess2016ErgodicityAL,
  title={Ergodicity and Local Limits for Stochastic Local and Nonlocal p-Laplace Equations},
  author={Benjamin Gess and Jonas M. T{\"o}lle},
  journal={SIAM J. Math. Anal.},
  year={2016},
  volume={48},
  pages={4094-4125}
}
  • Benjamin Gess, Jonas M. Tölle
  • Published 2016
  • Computer Science, Mathematics
  • SIAM J. Math. Anal.
  • Ergodicity for local and nonlocal stochastic singular $p$-Laplace equations is proven, without restriction on the spatial dimension and for all $p\in[1,2)$. This generalizes previous results from [B. Gess and J. M. Tolle, J. Math. Pures Appl., 101 (2014), pp. 789--827], [W. Liu and J. M. Tolle, Electron. Commun. Probab., 16 (2011), pp. 447--457], [W. Liu, J. Evol. Equations, 9 (2009), pp. 747--770]. In particular, the results include the multivalued case of the stochastic (nonlocal) total… CONTINUE READING

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