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

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

Unnamed Item
Unnamed Item
Global well-posedness of the energy-critical defocusing NLS on ${\mathbb{R} \times \mathbb{T}^3}$
Well-posedness and scattering for nonlinear Schrödinger equations on $\mathbb{R}^d \times \mathbb{T}$ in the energy space
Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on ${\mathbb{R}^3}$
Nonlinear Schrödinger equations and sharp interpolation estimates
Nonlinear scalar field equations. I: Existence of a ground state
On scattering for the defocusing nonlinear Schrödinger equation on waveguide $\mathbb{R}^m \times \mathbb{T}$ (when $m = 2, 3)$
Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$
Global endpoint Strichartz estimates for Schrödinger equations on the cylinder $\mathbb{R} \times \mathbb{T}$
On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide $\mathbb{R}^2 \times \mathbb{T}$
Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime
Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation
The nonlinear Schrödinger equation ground states on product spaces
Action versus energy ground states in nonlinear Schrödinger equations
On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T²
Existence of solutions with prescribed norm for semilinear elliptic equations
On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$
Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space
On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder
Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide ℝ2 × 𝕋2
On long time behavior of the focusing energy-critical NLS on $\mathbb{R}^d\times\mathbb{T}$ via semivirial-vanishing geometry
Sharp scattering for focusing intercritical NLS on high-dimensional waveguide manifolds
Almost sure scattering for the defocusing cubic nonlinear Schr\"odinger equation on $\mathbb{R}^3\times\mathbb{T}$

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

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