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Asymptotic expansions for SDE's with small multiplicative noise

Probability 2013-12-10 v1

Abstract

Asymptotic expansions are derived as power series in a small coefficient entering a nonlinear multiplicative noise and a deterministic driving term in a nonlinear evolution equation. Detailed estimates on remainders are provided.

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Cite

@article{arxiv.1312.2324,
  title  = {Asymptotic expansions for SDE's with small multiplicative noise},
  author = {Sergio Albeverio and Boubaker Smii},
  journal= {arXiv preprint arXiv:1312.2324},
  year   = {2013}
}

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21 pages