Invariant Measures for the DNLS Equation

DOI10.1007/978-3-030-47174-3_14zbMath1462.35361OpenAlexW3091251711MaRDI QIDQ4964116

Renato Lucà

Publication date: 24 February 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/1211

zbMATH Keywords

invariant measuresderivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with measure (35R06)

Cites Work

• Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
• Non-local Poisson structures and applications to the theory of integrable systems
• Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
• Invariant measures for the periodic derivative nonlinear Schrödinger equation
• Absolute continuity of Brownian bridges under certain gauge transformations
• Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
• Invariant Measures and Long-Time Behavior for the Benjamin–Ono Equation
• Gibbs measure for the periodic derivative nonlinear Schrödinger equation
• QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS
• An exact solution for a derivative nonlinear Schrödinger equation
• On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition

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