Paracontrolled quasilinear SPDEs

M. Furlan and M. Gubinelli

First issued 25 October 2016 · PDF · HTML

Abstract

We introduce a non-linear paracontrolled calculus and use it to renormalise a class of singular SPDEs including certain quasilinear variants of the periodic two dimensional parabolic Anderson model.

Versions

1. Version 4 (arXiv v4) current
   9 November 2017
   arXiv comments: 30 pages. Reworded the introduction, added more details in some key proofs
   PDF · TeXmacs source · files and digests · arXiv:1610.07886
2. Version 3 (arXiv v3)
   9 February 2017
   arXiv comments: 25 pages. Added some remarks and corrected minor errors
   PDF · TeXmacs source · files and digests · arXiv:1610.07886
3. Version 2 (arXiv v2)
   11 November 2016
   arXiv comments: 24 pages. Typos corrected and some lemmas restructured
   PDF · TeXmacs source · files and digests · arXiv:1610.07886
4. Version 1 (arXiv v1)
   25 October 2016
   arXiv comments: 25 pages
   PDF · TeXmacs source · files and digests · arXiv:1610.07886

Cite

M. Furlan and M. Gubinelli. Paracontrolled quasilinear SPDEs. Papers of Massimiliano Gubinelli, 2016, version 4. https://mgubi.org/papers/paper/paracontrolled-quasilinear/

Licence: arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors

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