Large deviations for a stochastic Cahn–Hilliard equation in Hölder norm-Reference-Cited by-同舟云学术

Large deviations for a stochastic Cahn–Hilliard equation in Hölder norm

Published:2020-06 Issue:02 Volume:23 Page:2050010
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Boulanba Lahcen¹²,Mellouk Mohamed³

Affiliation:

1. Département de Mathématiques, Centre Régional des Métiers de l’Éducation et de la Formation, Souss Massa, Inezgane, Maroc

2. Laboratoire d’Ingénierie des Systèmes et Technologies, de l’Information (LISTI), ENSA, Université Ibn Zohr, Agadir, Maroc

3. MAP5, UMR CNRS 8145, Université de Paris, 45 rue des Saints-Pères, 75270 Paris Cedex 6, France

Abstract

We consider a stochastic Cahn–Hilliard equation driven by a space–time white noise. We prove that the law of the solution satisfies a large deviations principle in the Hölder norm. Our proof is based on the weak convergence approach for large deviations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025720500101

Reference26 articles.

1. Grandes deviations et applications

2. An extension of ventsel-freidlin estimates

3. STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE

4. Support Theorem for a Stochastic Cahn-Hilliard Equation

5. A variational representation for certain functionals of Brownian motion

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