Open AccessWell-posedness and scattering for nonlinear Schrödinger equations on $\mathbb R^d \times \mathbb T$ in the energy space
Author(s) -
Nikolay Tzvetkov,
Nicola Visciglia
Publication year - 2016
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/911
Subject(s) - mathematics , scattering , space (punctuation) , energy (signal processing) , initial value problem , nonlinear system , mathematical physics , cauchy problem , nonlinear schrödinger equation , mathematical analysis , schrödinger's cat , cauchy distribution , schrödinger equation , physics , quantum mechanics , statistics , philosophy , linguistics
We study the Cauchy problem and the large data $H^1$ scattering for \udenergy subcritical NLS posed on $\R^d\times \T