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math.AP2019★ 1 cited
Paracontrolled calculus for quasilinear singular PDEs
I. Bailleul, A. Mouzard
We develop further in this work the high order paracontrolled calculus setting to deal with the analytic part of the study of quasilinear singular PDEs. A number of continuity resu…
math.AP2019
Paracontrolled calculus and regularity structures (II)
I. Bailleul, M. Hoshino
We prove a general equivalence statement between the notions of models and modelled distributions over a regularity structure, and paracontrolled systems indexed by the regularity…
math.AP2018
Paracontrolled calculus and regularity structures
I. Bailleul, M. Hoshino
We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…