Global well-posedness of the dynamic Φ⁴ model in the plane

Jean-Christophe Mourrat , Hendrik Weber

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classification 🧮 math.PR math-phmath.MP

keywords modeldynamicglobalplanewell-posednessbesovinterpretednegative

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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.

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Global well-posedness of the dynamic Φ⁴ model in the plane

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