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Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space
In this article, we study long time dynamics for defocusing cubic nonlinear Schrödinger
equations (NLS) on three dimensional product space. First, we apply the decoupling method …
equations (NLS) on three dimensional product space. First, we apply the decoupling method …
On bilinear Strichartz estimates on waveguides with applications
On bilinear Strichartz estimates on waveguides with applications - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Help Search My account Sign in View …
contentSkip to article Elsevier logo Journals & Books Help Search My account Sign in View …
Global Well-posedness for the Focusing Cubic NLS on the Product Space
In this paper, we prove the global well-posedness for the focusing, cubic nonlinear
Schrödinger equation on the product space R*T^3 with initial data below the threshold that …
Schrödinger equation on the product space R*T^3 with initial data below the threshold that …
On Existence and Stability Results for Normalized Ground States of Mass-Subcritical Biharmonic Nonlinear Schrödinger Equation on
We study the focusing mass-subcritical biharmonic nonlinear Schrödinger equation (BNLS)
on the product space. Following the crucial scaling arguments introduced in [Terracini …
on the product space. Following the crucial scaling arguments introduced in [Terracini …
On long time behavior of the focusing energy-critical NLS on Rd× T via semivirial-vanishing geometry
Y Luo - Journal de Mathématiques Pures et Appliquées, 2023 - Elsevier
We study the focusing energy-critical NLS (NLS) i∂ t u+ Δ x, yu=−| u| 4 d− 1 u on the
waveguide manifold R xd× T y with d≥ 2. We reveal the somewhat counterintuitive …
waveguide manifold R xd× T y with d≥ 2. We reveal the somewhat counterintuitive …
On scattering asymptotics for the 2D cubic resonant system
K Yang, Z Zhao - Journal of Differential Equations, 2023 - Elsevier
In this paper, we prove scattering asymptotics for the 2D (discrete dimension) cubic resonant
system. This scattering result was used in Zhao [38] as an assumption to obtain the …
system. This scattering result was used in Zhao [38] as an assumption to obtain the …
Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds
In this paper, we study the well-posedness theory and the scattering asymptotics for fourth-
order Schrödinger equations (4NLS) on waveguide manifolds (semiperiodic spaces),,. The …
order Schrödinger equations (4NLS) on waveguide manifolds (semiperiodic spaces),,. The …
Sharp scattering for focusing intercritical NLS on high-dimensional waveguide manifolds
Y Luo - Mathematische Annalen, 2024 - Springer
We study the focusing intercritical NLS NLS i∂ tu+ Δ x, yu=-| u| α u on the semiperiodic
waveguide manifold R xd× T y with d≥ 5 and α∈(4 d, 4 d-1). In the case d≤ 4, with the aid …
waveguide manifold R xd× T y with d≥ 5 and α∈(4 d, 4 d-1). In the case d≤ 4, with the aid …
On the focusing fractional nonlinear Schr\"{o} dinger equation on the waveguide manifolds
In this paper, we consider the focusing fractional nonlinear Schr\"{o} dinger equation (FNLS)
on the waveguide manifolds $\mathbb {R}^ d\times\mathbb {T}^ m $ both in the isotropic and …
on the waveguide manifolds $\mathbb {R}^ d\times\mathbb {T}^ m $ both in the isotropic and …
A Legendre–Fenchel Identity for the Nonlinear Schrödinger Equations on : Theory and Applications
Y Luo - The Journal of Geometric Analysis, 2024 - Springer
The present paper is inspired by a previous work of the author, where the large data
scattering problem for the focusing cubic nonlinear Schrödinger equation (NLS) on R 2× T …
scattering problem for the focusing cubic nonlinear Schrödinger equation (NLS) on R 2× T …