Cover Image

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schrödinger equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hirayama, Hiroyuki, Kinoshita, Shinya, Okamoto, Mamoru
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

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

Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces
by: Hirayama, Hiroyuki, et al.
Published: (2020)

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)

Well-posedness for KdV-type equations with quadratic nonlinearity
by: Hirayama, Hiroyuki, et al.
Published: (2018)

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

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

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

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

Critical local well-posedness of the nonlinear Schrödinger equation on the torus
by: Kwak, Beomjong, et al.
Published: (2024)

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

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

Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity
by: Lee, Jinyeop, et al.
Published: (2025)

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)

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

Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schrödinger equation
by: Başakoğlu, Engin, et al.
Published: (2025)

Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval
by: Mayo, Chris, et al.
Published: (2024)

Well-posedness for the NLS hierarchy
by: Adams, Joseph
Published: (2024)

Well-posedness for the dNLS hierarchy
by: Adams, Joseph
Published: (2025)

Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with low regularity periodic initial data
by: Hirayama, Hiroyuki
Published: (2013)

Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
by: Gnann, Manuel V., et al.
Published: (2022)

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)

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

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

Global solutions to 3D quadratic nonlinear Schrödinger-type equation
by: Guo, Zihua, et al.
Published: (2024)

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

Global well-posedness for the defocusing 3D quadratic NLS in the sharp critical space
by: Shen, Jia, et al.
Published: (2024)

Well-posedness and ill-posedness of the primitive equations with fractional horizontal dissipation
by: Abdo, Elie, et al.
Published: (2025)

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)

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

Hasimoto frames and the Gibbs measure of periodic nonlinear Schrödinger Equation
by: Blower, Gordon, et al.
Published: (2022)

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)

On the wellposedness for periodic nonlinear Schrödinger equations with white noise dispersion
by: Stewart, Gavin
Published: (2022)

Global Strong Well-posedness of the heat-conducting, compressible primitive Equations
by: Zöchling, Tarek
Published: (2026)

Global well-posedness for the defocusing cubic nonlinear Schrödinger equation on $\Bbb T^3$
by: Song, Yilin, et al.
Published: (2024)