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Global well-posedness of the dynamic Φ4 model in the plane
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Mourrat, Jean-Christopher and Weber, Hendrik (2017) Global well-posedness of the dynamic Φ4 model in the plane. Annals of Probability, 45 (4). pp. 2398-2476. doi:10.1214/16-AOP1116 ISSN 0091-1798.
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Official URL: https://doi.org/10.1214/16-AOP1116
Abstract
We show global well-posedness of the dynamic Φ4 model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a “renormalised” sense. Solutions take values in suitable weighted Besov spaces of negative regularity.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Stochastic processes, Differential equations, Partial, Besov spaces, Quantum field theory | ||||||||
| Journal or Publication Title: | Annals of Probability | ||||||||
| Publisher: | Institute of Mathematical Statistics | ||||||||
| ISSN: | 0091-1798 | ||||||||
| Official Date: | July 2017 | ||||||||
| Dates: |
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| Volume: | 45 | ||||||||
| Number: | 4 | ||||||||
| Page Range: | pp. 2398-2476 | ||||||||
| DOI: | 10.1214/16-AOP1116 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 7 June 2016 | ||||||||
| Date of first compliant Open Access: | 18 October 2018 | ||||||||
| RIOXX Funder/Project Grant: |
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