This survey is devoted to Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures [6]. Our aim is to give a new self-contained and elementary proof of this theorem, together with some applications, including a characterization, based on a single arbitrary test function, of negative Hölder spaces. We present the Reconstruction Theorem as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define.

Caravenna, F., Zambotti, L. (2020). Hairer's reconstruction theorem without regularity structures. EMS SURVEYS IN MATHEMATICAL SCIENCES, 7(2), 207-251 [10.4171/EMSS/39].

Hairer's reconstruction theorem without regularity structures

Caravenna F.;
2020

Abstract

This survey is devoted to Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures [6]. Our aim is to give a new self-contained and elementary proof of this theorem, together with some applications, including a characterization, based on a single arbitrary test function, of negative Hölder spaces. We present the Reconstruction Theorem as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define.
Articolo in rivista - Articolo scientifico
Distributions; Reconstruction theorem; Regularity structures;
English
7-mag-2021
2020
7
2
207
251
none
Caravenna, F., Zambotti, L. (2020). Hairer's reconstruction theorem without regularity structures. EMS SURVEYS IN MATHEMATICAL SCIENCES, 7(2), 207-251 [10.4171/EMSS/39].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/345954
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