Commutator estimates from a viewpoint of regularity structures

Masato Hoshino

Commutator estimates from a viewpoint of regularity structures

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arxiv 1903.00623 v1 pith:YGYBYVS3 submitted 2019-03-02 math.AP

Masato Hoshino This is my paper · ORCID

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keywords commutatorestimateregularityresultstructuresalgebraicanotherapplication

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First we introduce the Bailleul-Hoshino's result [4], which links the theory of regularity structures and the paracontrolled calculus. As an application of their result, we give another algebraic proof of the multicomponent commutator estimate [3], which is a generalized version of the Gubinelli-Imkeller-Perkowski's commutator estimate [11, Lemma 2.4].

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A general paracontrolled ansatz for singular SPDEs
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A general paracontrolled ansatz built from decorated trees and iterated paraproducts gives local well-posedness and BPHZ renormalisation for a broad class of subcritical parabolic singular SPDEs.

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