Paracontrolled calculus and regularity structures I.

DOI10.2969/jmsj/81878187zbMath1467.35365OpenAlexW3190168207MaRDI QIDQ2039821

Masato Hoshino, Ismaël Bailleul

Publication date: 5 July 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/81878187

zbMATH Keywords

paracontrolled calculusregularity structures

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items (11)

Iterated paraproducts and iterated commutator estimates in Besov spaces ⋮ Weyl law for the Anderson Hamiltonian on a two-dimensional manifold ⋮ The Sewing lemma for \(0 < \gamma \leq 1\) ⋮ A Littlewood-Paley description of modelled distributions ⋮ Post-Lie algebras in Regularity Structures ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Paracontrolled calculus for quasilinear singular PDEs ⋮ A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime ⋮ New directions in rough path theory. Abstracts from the workshop held December 6--12, 2020 (online meeting) ⋮ Paracontrolled calculus and regularity structures. II ⋮ HIGH ORDER PARACONTROLLED CALCULUS

Cites Work

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• Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey
• A theory of regularity structures
• Ramification of rough paths
• Algebraic renormalisation of regularity structures
• Controlling rough paths
• A Littlewood-Paley description of modelled distributions
• The reconstruction theorem in Besov spaces
• Renormalising SPDEs in regularity structures
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Space-time paraproducts for paracontrolled calculus, 3d-PAM and multiplicative Burgers equations
• HIGH ORDER PARACONTROLLED CALCULUS
• The geometry of the space of branched rough paths
• Modelled distributions of Triebel–Lizorkin type

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