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Integrability and diffeomorphisms on target space.

Adam, Christoph, Sanchez-Guillen, Joaquin, Wereszczynski, Andrzej (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Invariance of the Gibbs measure for the Benjamin–Ono equation

Yu Deng (2015)

Journal of the European Mathematical Society

In this paper we consider the periodic Benjemin-Ono equation.We establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [28]. As an intermediate step, we also obtain a local well-posedness result in Besov-type spaces rougher than $L^{2}$ , extending the $L^{2}$ well-posedness result of Molinet [20].

Invariant measures for the defocusing Nonlinear Schrödinger equation

Nikolay Tzvetkov (2008)

Annales de l’institut Fourier

We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane $ℝ^{2}$ . We also prove an estimate giving some intuition to what may happen in $3$ dimensions.

Displaying 1 – 3 of 3

Integrability and diffeomorphisms on target space.

Invariance of the Gibbs measure for the Benjamin–Ono equation

Invariant measures for the defocusing Nonlinear Schrödinger equation

Currently displaying 1 – 3 of 3