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arXiv · 1902.07635

Nondivergence form quasilinear heat equations driven by space-time white noise

Máté Gerencsér
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Abstract

We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in $1+1$ dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful arrangement of a few hundred terms is required. The main tool in this computation is a general integration by parts formula that provides a number of linear identities for the renormalisation constants.

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Máté Gerencsér. 2019-02-20. Nondivergence form quasilinear heat equations driven by space-time white noise. https://doi.org/10.1016/j.anihpc.2020.01.003

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