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

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

preprint2015arXivOpen access
Jean-Christophe MourratHendrik Weber
math-phmath.PRmath.MP
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Jean-Christophe MourratHendrik Weber

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