November 2024 Corrigendum: Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Florian Huber, Ansgar Jüngel
Author Affiliations +
Ann. Inst. H. Poincaré Probab. Statist. 60(4): 3009-3012 (November 2024). DOI: 10.1214/23-AIHP1422

Abstract

We correct the proof of Theorem 3 in the paper (G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn, and A. Neamţu, Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021) 577–602). The correction is based on a new regularization of quasilinear stochastic PDEs, which was suggested in (M. Braukhoff, F. Huber, and A. Jüngel, Stoch. Partial Differ. Eqs.: Anal. Comput. 43 (2023) 3839–3861. https://doi.org/10.1007/s40072-023-00289-7).

Nous corrigeons la preuve du théorème 3 dans l’article (G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn, and A. Neamţu, Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021) 577–602). La correction est basée sur une nouvelle régularisation des EDP stochastiques quasi-linéaires, qui a été suggérée dans (M. Braukhoff, F. Huber, et A. Jüngel, Stoch. Partial Differ. Eqs.: Anal. Comput. 43 (2023) 3839–3861. https://doi.org/10.1007/s40072-023-00289-7).

Funding Statement

The first author has been supported by the FWF, grant Y1235 of the START program. The authors acknowledge partial support from the Austrian Science Fund (FWF), grants P33010 and F65. This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, ERC Advanced Grant no. 101018153.

Acknowledgments

The authors thank Benjamin Gess for pointing out an error in the existence proof of [4].

Citation

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Florian Huber. Ansgar Jüngel. "Corrigendum: Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method." Ann. Inst. H. Poincaré Probab. Statist. 60 (4) 3009 - 3012, November 2024. https://doi.org/10.1214/23-AIHP1422

Information

Received: 12 May 2023; Revised: 7 July 2023; Accepted: 14 July 2023; Published: November 2024
First available in Project Euclid: 19 November 2024

Digital Object Identifier: 10.1214/23-AIHP1422

Subjects:
Primary: 60H15
Secondary: 35Q92 , 35R60

Keywords: Cross diffusion , entropy method , Martingale solutions , Multiplicative noise , Tightness of laws

Rights: Copyright © 2024 Association des Publications de l’Institut Henri Poincaré

Vol.60 • No. 4 • November 2024
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