Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations

@article{Hutzenthaler2016StrongCO,
  title={Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations},
  author={Martin Hutzenthaler and Arnulf Jentzen and Diyora Salimova},
  journal={arXiv: Probability},
  year={2016}
}
  • Martin Hutzenthaler, Arnulf Jentzen, Diyora Salimova
  • Published 2016
  • Mathematics
  • arXiv: Probability
  • 5 Stochastic Kuramoto-Sivashinsky equations 28 5.1 Setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 5.2 Properties of the nonlinearity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 5.3 Fernique’s theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 5.4 Properties of the stochastic convolution process . . . . . . . . . . . . . . . . . . . . . 31 5.5 Strong convergence… CONTINUE READING

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