Global well-posedness for the defocusing cubic nonlinear Schrödinger equation on $\Bbb T^3$
Fuente:
arXiv
Saved in:
| Main Authors: | Song, Yilin, Zhang, Ruixiao |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sharp $L^4$ Strichartz estimate for Hyperbolic Schrödinger equation on $\mathbb{R}\times \mathbb{T}$
by: Deng, Yangkendi, et al.
Published: (2025)
by: Deng, Yangkendi, et al.
Published: (2025)
Global Well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds
by: Yu, Xueying, et al.
Published: (2021)
by: Yu, Xueying, et al.
Published: (2021)
Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with indefinite potential in the radial case
by: Wang, Jun, et al.
Published: (2024)
by: Wang, Jun, et al.
Published: (2024)
NLS with exponential nonlinearity on compact surfaces
by: Longmou-Moffo, Filone G., et al.
Published: (2026)
by: Longmou-Moffo, Filone G., et al.
Published: (2026)
On the well-posedness of the intermediate nonlinear Schrödinger equation on the line
by: Chapouto, Andreia, et al.
Published: (2025)
by: Chapouto, Andreia, et al.
Published: (2025)
The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $\mathbb{T}^3$
by: Babb, Ryan L. Acosta, et al.
Published: (2025)
by: Babb, Ryan L. Acosta, et al.
Published: (2025)
Invariant Gibbs dynamics for the nonlinear Schrödinger equations on the disc
by: Forlano, Justin, et al.
Published: (2025)
by: Forlano, Justin, et al.
Published: (2025)
Probabilistic well-posedeness for the nonlinear Schrödinger equation on the $2d$ sphere I: positive regularities
by: Burq, Nicolas, et al.
Published: (2024)
by: Burq, Nicolas, et al.
Published: (2024)
On the defocusing stationary nonlinear Schrödinger equation on metric graphs
by: Durand-Simonnet, Élio, et al.
Published: (2026)
by: Durand-Simonnet, Élio, et al.
Published: (2026)
On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation
by: Badreddine, Rana
Published: (2023)
by: Badreddine, Rana
Published: (2023)
Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity
by: Antonelli, Paolo, et al.
Published: (2023)
by: Antonelli, Paolo, et al.
Published: (2023)
Remarks on the derivation of the virial identity for nonlinear Schrödinger equations
by: Ikeda, Tomoyuki, et al.
Published: (2025)
by: Ikeda, Tomoyuki, et al.
Published: (2025)
A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schrödinger Equations
by: Machihara, Shuji, et al.
Published: (2026)
by: Machihara, Shuji, et al.
Published: (2026)
Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori
by: Bernier, Joackim, et al.
Published: (2024)
by: Bernier, Joackim, et al.
Published: (2024)
Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schrödinger equation
by: Başakoğlu, Engin, et al.
Published: (2025)
by: Başakoğlu, Engin, et al.
Published: (2025)
Scattering for the dispersion managed nonlinear Schrödinger equation
by: Choi, Mi-Ran, et al.
Published: (2024)
by: Choi, Mi-Ran, et al.
Published: (2024)
Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion
by: Liang, Rui, et al.
Published: (2023)
by: Liang, Rui, et al.
Published: (2023)
Global well-posedness for generalized fractional Hartree equations with rough initial data in all dimensions
by: Lu, Yufeng
Published: (2025)
by: Lu, Yufeng
Published: (2025)
Long-time Strichartz estimates on 3D waveguide with applications
by: Deng, Yangkendi, et al.
Published: (2026)
by: Deng, Yangkendi, et al.
Published: (2026)
The uniqueness of the ground state and the dynamics of nonlinear Schrödinger equation with inverse square potential
by: Yang, Kai, et al.
Published: (2026)
by: Yang, Kai, et al.
Published: (2026)
Global well-posedness of the NLS hierarchy with nonzero boundary condition
by: Liao, Xian, et al.
Published: (2025)
by: Liao, Xian, et al.
Published: (2025)
Hasimoto frames and the Gibbs measure of periodic nonlinear Schrödinger Equation
by: Blower, Gordon, et al.
Published: (2022)
by: Blower, Gordon, et al.
Published: (2022)
Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
by: Kim, Taegyu, et al.
Published: (2024)
by: Kim, Taegyu, et al.
Published: (2024)
Well-posedness of the Muskat problem in subcritical $L_p$-Sobolev spaces
by: Abels, Helmut, et al.
Published: (2020)
by: Abels, Helmut, et al.
Published: (2020)
The Second Picard iteration of NLS on the $2d$ sphere does not regularize Gaussian random initial data
by: Burq, Nicolas, et al.
Published: (2024)
by: Burq, Nicolas, et al.
Published: (2024)
Higher order expansion for the probabilistic local well-posedness theory for a cubic nonlinear Schrödinger equation
by: Casteras, Jean-Baptiste, et al.
Published: (2024)
by: Casteras, Jean-Baptiste, et al.
Published: (2024)
Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
by: Kim, Kihyun, et al.
Published: (2024)
by: Kim, Kihyun, et al.
Published: (2024)
Traveling waves & finite gap potentials for the Calogero-Sutherland Derivative nonlinear Schrödinger equation
by: Badreddine, Rana
Published: (2023)
by: Badreddine, Rana
Published: (2023)
Estimates for the Gross-Pitaevskii equation linearized around a vortex
by: Collot, Charles, et al.
Published: (2025)
by: Collot, Charles, et al.
Published: (2025)
The nonlinear Schrödinger equation on the half-space
by: Himonas, A. Alexandrou, et al.
Published: (2024)
by: Himonas, A. Alexandrou, et al.
Published: (2024)
Existence of weak solutions for nonlinear drift-diffusion equations with measure data
by: Hwang, Sukjung, et al.
Published: (2025)
by: Hwang, Sukjung, et al.
Published: (2025)
Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation
by: Shen, Jia, et al.
Published: (2020)
by: Shen, Jia, et al.
Published: (2020)
Quantized blow-up dynamics for Calogero--Moser derivative nonlinear Schrödinger equation
by: Jeong, Uihyeon, et al.
Published: (2024)
by: Jeong, Uihyeon, et al.
Published: (2024)
Infinite dimensional invariant tori for nonlinear Schrödinger equations
by: Bernier, Joackim, et al.
Published: (2024)
by: Bernier, Joackim, et al.
Published: (2024)
Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains
by: Kinra, Kush, et al.
Published: (2024)
by: Kinra, Kush, et al.
Published: (2024)
A comprehensive study of bound-states for the nonlinear Schrödinger equation on single-knot metric graphs
by: Agostinho, Francisco, et al.
Published: (2025)
by: Agostinho, Francisco, et al.
Published: (2025)
Classification of single-bubble blow-up solutions for Calogero--Moser derivative nonlinear Schrödinger equation
by: Jeong, Uihyeon, et al.
Published: (2026)
by: Jeong, Uihyeon, et al.
Published: (2026)
Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
by: Cheng, Xing, et al.
Published: (2014)
by: Cheng, Xing, et al.
Published: (2014)
The $N$-dimensional gravity driven Muskat problem
by: Matioc, Bogdan-Vasile, et al.
Published: (2026)
by: Matioc, Bogdan-Vasile, et al.
Published: (2026)
Strichartz estimates for Schrödinger equations with nonlinear boundary interactions
by: Garofalo, Nicola, et al.
Published: (2026)
by: Garofalo, Nicola, et al.
Published: (2026)
Similar Items
-
Sharp $L^4$ Strichartz estimate for Hyperbolic Schrödinger equation on $\mathbb{R}\times \mathbb{T}$
by: Deng, Yangkendi, et al.
Published: (2025) -
Global Well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds
by: Yu, Xueying, et al.
Published: (2021) -
Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with indefinite potential in the radial case
by: Wang, Jun, et al.
Published: (2024) -
NLS with exponential nonlinearity on compact surfaces
by: Longmou-Moffo, Filone G., et al.
Published: (2026) -
On the well-posedness of the intermediate nonlinear Schrödinger equation on the line
by: Chapouto, Andreia, et al.
Published: (2025)