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Wednesday, July 14, 2021 - 14:30 in ZOOM - Video Conference


A priori bounds for quasi-linear parabolic equations in the full sub-critical regime

A talk in the Bielefeld Stochastic Afternoon series by
Scott Smith from University of Wisconsin, Madison

Abstract: Please contact stochana@math.uni-bielefeld.de for Meeting-ID and Password.

We will discuss quasi-linear parabolic equations driven by an additive forcing, in the full sub-critical regime. Our arguments are inspired by Hairer’s regularity structures, however we work with a more parsimonious model indexed by multi-indices rather than trees. Assuming bounds on this model, which is modified in agreement with the concept of algebraic renormalization, we prove local a priori estimates on solutions to the quasi-linear equations modified by the corresponding counter terms.

Within the CRC this talk is associated to the project(s): A5, B1



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