Nondivergence form quasilinear heat equations driven by space-time white noise

Gerencser, Mate

Nondivergence form quasilinear heat equations driven by space-time white noise

Gerencser M. 2020. Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C. 37(3), 663–682.

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https://arxiv.org/abs/1902.07635 [Preprint]

DOI

10.1016/j.anihpc.2020.01.003

Journal Article | Published | English

Scopus indexed

Author

Gerencser, Mate^ISTA

Department

Maas Group

Abstract

We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in 1 + 1 dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful arrangement of a few hundred terms is required. The main tool in this computation is a general ‘integration by parts’ formula that provides a number of linear identities for the renormalisation constants.

Publishing Year

2020

Date Published

2020-05-01

Journal Title

Annales de l'Institut Henri Poincaré C

Publisher

Elsevier

Volume

Issue

Page

663-682

ISSN

0294-1449

IST-REx-ID

7388

Cite this

Gerencser M. Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C. 2020;37(3):663-682. doi:10.1016/j.anihpc.2020.01.003

Gerencser, M. (2020). Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C. Elsevier. https://doi.org/10.1016/j.anihpc.2020.01.003

Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” Annales de l’Institut Henri Poincaré C. Elsevier, 2020. https://doi.org/10.1016/j.anihpc.2020.01.003.

M. Gerencser, “Nondivergence form quasilinear heat equations driven by space-time white noise,” Annales de l’Institut Henri Poincaré C, vol. 37, no. 3. Elsevier, pp. 663–682, 2020.

Gerencser M. 2020. Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C. 37(3), 663–682.

Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” Annales de l’Institut Henri Poincaré C, vol. 37, no. 3, Elsevier, 2020, pp. 663–82, doi:10.1016/j.anihpc.2020.01.003.

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