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arXiv:1501.06191 [math.PR]AbstractReferencesReviewsResources

Global well-posedness of the dynamic $Φ^4$ model in the plane

Jean-Christophe Mourrat, Hendrik Weber

Published 2015-01-25Version 1

We show global well-posedness of the dynamic $\Phi^4$ 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.

Comments: 60 pages
Categories: math.PR, math-ph, math.MP
Subjects: 81T27, 81T40, 60H15, 35K55
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