Invariant measure construction at a fixed mass

DOI10.1088/1361-6544/AAEC90zbMath1406.35494arXiv1802.00902OpenAlexW3101797901WikidataQ128684492 ScholiaQ128684492MaRDI QIDQ4614994

Justin Brereton

Publication date: 1 February 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00902

zbMATH Keywords

invariant measurespartial differential equationsnonlinear dispersive equationsalmost sure well-posedness

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS ⋮ Invariance of white noise for KdV on the line ⋮ Invariant measures for the periodic derivative nonlinear Schrödinger equation ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
• Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
• Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
• Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
• On the derivative nonlinear Schrödinger equation
• Statistical mechanics of the nonlinear Schrödinger equation
• Periodic nonlinear Schrödinger equation and invariant measures
• Invariant measures for the Gross-Pitaevskii equation
• Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
• Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
• On invariant Gibbs measures conditioned on mass and momentum
• Theory of probability and random processes.
• Absolute continuity of Brownian bridges under certain gauge transformations
• Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
• Gibbs measure for the periodic derivative nonlinear Schrödinger equation
• Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
• Global Well-Posedness of the Derivative Nonlinear Schroedinger Equations on T
• The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
• An exact solution for a derivative nonlinear Schrödinger equation
• Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
• Remarks on the Gibbs measures for nonlinear dispersive equations
• On the nonlinear Schrodinger equations of derivative type

This page was built for publication: Invariant measure construction at a fixed mass