Solving the 4NLS with white noise initial data

Solving the 4NLS with white noise initial data

We construct global-in-time singular dynamics for the (renormalized) cubic fourth-order nonlinear Schrödinger equation on the circle, having the white noise measure as an invariant measure. For this purpose, we introduce the ‘random-resonant / nonlinear decomposition’, which allows us to single out...

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Bibliographic Details
Main Authors: Tadahiro Oh, Nikolay Tzvetkov, Yuzhao Wang
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
Subjects:
35Q55
60H30
fourth-order nonlinear Schrrödinger equation
biharmonic nonlinear Schrrödinger equation
white noise
invariant measure
random-resonant/nonlinear decomposition
random Fourier restriction norm space
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000511/type/journal_article

Internet

https://www.cambridge.org/core/product/identifier/S2050509420000511/type/journal_article

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