A Legendre-Fenchel identity for the nonlinear Schrödinger equations on ${\mathbb{R}}^d\times {\mathbb{T}}^m$: theory and applications

Yongming Luo

The present paper is inspired by a previous work \cite{Luo_Waveguide_MassCritical} of the author, where the large data scattering problem for the focusing cubic nonlinear Schröding…