Paracontrolled calculus for quasilinear singular PDEs

نویسندگان

چکیده

We develop further in this work the high order paracontrolled calculus setting to deal with analytic part of study quasilinear singular PDEs. Continuity results for a number operators are proved that purpose. Unlike regularity structures approach subject by Gerencser & Hairer and Otto, Sauer, Smith Weber, or Furlan Gubinelli’ two dimensional parabolic Anderson model equation, we do not use parametrised families models paraproducts set scene. instead infinite introduce here.

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ژورنال

عنوان ژورنال: Stochastics And Partial Differential Equations: Analysis And Computations

سال: 2022

ISSN: ['2194-0401', '2194-041X']

DOI: https://doi.org/10.1007/s40072-022-00239-9