English

An alternative proof of well-posedness of stochastic evolution equations in the variational setting

Analysis of PDEs 2021-09-15 v1 Probability

Abstract

We present a new proof of well-posedness of stochastic evolution equations in variational form, relying solely on a (nonlinear) infinite-dimensional approximation procedure rather than on classical finite-dimensional projection arguments of Galerkin type.

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Cite

@article{arxiv.2009.09700,
  title  = {An alternative proof of well-posedness of stochastic evolution equations in the variational setting},
  author = {Carlo Marinelli and Luca Scarpa and Ulisse Stefanelli},
  journal= {arXiv preprint arXiv:2009.09700},
  year   = {2021}
}

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11 pages