Paracontrolled quasilinear SPDEs

2016/10/25 by Marco Furlan, Furlan, M., Massimiliano Gubinelli +1 · 1 citation
Mathematics · Computer Science · #Differential Equations and Numerical Methods #Advanced Mathematical Physics Problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1610.07886

Abstract

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

Cited by

• An introduction to singular SPDEs

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• Paracontrolled calculus for quasilinear singular PDEs
• Non-local quasilinear singular SPDEs
• Paracontrolled distributions and singular PDEs
• Quasilinear generalized parabolic Anderson model equation
• High order paracontrolled calculus