Global well-posedness of the dynamic Φ4Φ^4 model in the plane

preprint2015arXivOpen access

Abstract

We show global well-posedness of the dynamic Φ4Φ^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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