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arXiv · 2303.18192

Characterizing models in regularity structures: a quasilinear case

Markus Tempelmayr
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Abstract

We give a novel characterization of the centered model in regularity structures which persists for rough drivers even as a mollification fades away. We present our result for a class of quasilinear equations driven by noise, however we believe that the method is robust and applies to a much broader class of subcritical equations. Furthermore, we prove that a convergent sequence of noise ensembles, satisfying uniformly a spectral gap assumption, implies the corresponding convergence of the associated models. Combined with the characterization, this establishes a universality-type result.

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Markus Tempelmayr. 2023-03-31. Characterizing models in regularity structures: a quasilinear case. https://doi.org/10.1007/s00440-024-01292-2

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