Paracontrolled quasilinear SPDEs

Marco Furlan; Massimiliano Gubinelli

doi:10.1214/18-AOP1280

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Home > Journals > Ann. Probab. > Volume 47 > Issue 2 > Article

March 2019 Paracontrolled quasilinear SPDEs

Marco Furlan, Massimiliano Gubinelli

Ann. Probab. 47(2): 1096-1135 (March 2019). DOI: 10.1214/18-AOP1280

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Abstract

We introduce a nonlinear paracontrolled calculus and use it to renormalise a class of singular SPDEs including certain quasilinear variants of the periodic two-dimensional parabolic Anderson model.

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Marco Furlan. Massimiliano Gubinelli. "Paracontrolled quasilinear SPDEs." Ann. Probab. 47 (2) 1096 - 1135, March 2019. https://doi.org/10.1214/18-AOP1280