Cover Image

Critical local well-posedness of the nonlinear Schrödinger equation on the torus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kwak, Beomjong, Kwon, Soonsik
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35Q55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global well-posedness of the energy-critical nonlinear Schrödinger equations on $\mathbb{T}^{d}$
by: Kwak, Beomjong
Published: (2024)

Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun, et al.
Published: (2020)

Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
by: Kim, Taegyu, et al.
Published: (2024)

Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
by: Cheng, Xing, et al.
Published: (2014)

On the well-posedness of the intermediate nonlinear Schrödinger equation on the line
by: Chapouto, Andreia, et al.
Published: (2025)

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schrödinger equations
by: Hirayama, Hiroyuki, et al.
Published: (2024)

Classification of single-bubble blow-up solutions for Calogero--Moser derivative nonlinear Schrödinger equation
by: Jeong, Uihyeon, et al.
Published: (2026)

Strichartz estimates and its application to the well-posedness of the nonlinear Schrödinger equations on H-type groups
by: Hirayama, Hiroyuki, et al.
Published: (2025)

Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
by: Başakoğlu, Engin, et al.
Published: (2025)

Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev class
by: Kim, Kihyun, et al.
Published: (2022)

Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
by: Kim, Kihyun, et al.
Published: (2024)

On the well-posedness of the periodic fractional Schrödinger equation
by: Sanchez, Beckett, et al.
Published: (2024)

Local well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
by: Akase, Kohei
Published: (2025)

Refined Strichartz estimates and their orthornomal counterparts for Schrödinger equations on torus
by: Bhimani, Divyang G., et al.
Published: (2026)

Local well-posedness for the quasilinear Schrödinger equations via the generalized energy method
by: Shao, Jie, et al.
Published: (2023)

Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation
by: Shen, Jia, et al.
Published: (2020)

On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation
by: Badreddine, Rana
Published: (2023)

Local well-posedness for nonlinear Schrödinger equations on compact product manifolds
by: Zhang, Yunfeng
Published: (2025)

Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
by: Kim, Kihyun, 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)

Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains
by: Nogueira, Adán J. Corcho. Marcelo, et al.
Published: (2024)

Low-regularity well-posedness for the ZK equation on a half-strip
by: Avelino, E, et al.
Published: (2026)

Dispersive decay for the energy-critical nonlinear Schrödinger equation
by: Kowalski, Matthew
Published: (2024)

Partial mass dynamics of the defocussing nonlinear Schrödinger equation
by: Liu, Jiaqi, et al.
Published: (2024)

Fractional nonlinear Schrödinger and Hartree equations in modulation spaces
by: Bhimani, Divyang G., et al.
Published: (2024)

The energy-critical stochastic nonlinear Schrödinger equation: well-posedness and blow-up
by: Millet, Annie, et al.
Published: (2026)

Averaging of strong magnetic nonlinear Schrödinger equations in the energy space
by: Kawakami, Jumpei
Published: (2022)

Well-posedness for the periodic Intermediate nonlinear Schrödinger equation
by: Chapouto, Andreia, et al.
Published: (2026)

Higher order expansion for the probabilistic local well-posedness theory for a cubic nonlinear Schrödinger equation
by: Casteras, Jean-Baptiste, et al.
Published: (2024)

The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness
by: Covi, Giovanni, et al.
Published: (2025)

Low-regularity global solution of the inhomogeneous nonlinear Schrödinger equations in modulation spaces
by: Bhimani, Divyang G., et al.
Published: (2024)

Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states
by: Collot, Charles, et al.
Published: (2025)

On ill-posedness for the Gabitov--Turitsyn equation
by: Kowalski, Matthew
Published: (2025)

Singularities of solutions to nonlinear Schrödinger equations
by: Abe, Fumihito, et al.
Published: (2024)

Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
by: Harrop-Griffiths, Benjamin, et al.
Published: (2020)

Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data
by: Park, Dongjin
Published: (2023)

Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrödinger equations
by: Hirayama, Hiroyuki, et al.
Published: (2018)

Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity
by: Kawakami, Jumpei
Published: (2023)

Control and stabilization problem for a class of fourth-order nonlinear Schrödinger equation on boundaryless compact manifold
by: Song, Yilin, et al.
Published: (2025)

On the cubic-quintic Schrödinger equation
by: Baldelli, Laura
Published: (2025)