Published November 2010
| Version v1
Journal article
Gibbs measure for the periodic derivative nonlinear Schrödinger equation
Creators
- 1. Université de Nantes, Laboratoire de Mathématiques J. Leray, UMR CNRS 6629 2, rue de la Houssinière F-44322 Nantes Cedex 03 (France)
- 2. Département de Mathématiques, Université de Cergy-Pontoise, Site Saint-Martin, 95302 Cergy-Pontoise Cedex (France)
Description
In this paper we construct a Gibbs measure for the derivative Schrödinger equation on the circle. The construction uses some renormalizations of Gaussian series and Wiener chaos estimates, ideas which have already been used by the second author in a work on the Benjamin–Ono equation
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/23/11/003Additional details
Identifiers
- DOI
- 10.1088/0951-7715/23/11/003;
- PII
- S0951-7715(10)45526-7;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 23
- Journal Issue
- 11
- Journal Page Range
- p. 2771-2791
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034497
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; NONLINEAR PROBLEMS; PERIODICITY; RENORMALIZATION; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONS; WAVE EQUATIONS