Cover Image

Local well-posedness for a system of quadratic derivative nonlinear Schrödinger equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Akase, Kohei
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35Q55 (Primary) 35B30 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite energy well-posedness for nonlinear Schrödinger equations with non-vanishing conditions at infinity
by: Antonelli, Paolo, et al.
Published: (2023)

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

Sharp local well-posedness for the Hirota-Satsuma system
by: Deiga, Rafael
Published: (2026)

Stability of bound states for regularized nonlinear Schrödinger equations
by: Albert, John, et al.
Published: (2024)

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

Scattering and localized states for defocusing nonlinear Schrödinger equations with potential
by: Soffer, Avy, et al.
Published: (2024)

Standing waves with prescribed $L^2$-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities
by: Gou, Tianxiang
Published: (2023)

The 3D energy-critical inhomogeneous nonlinear Schrodinger equation with strong singularity
by: Lee, Yoonjung
Published: (2025)

Normalized ground states for nonlinear Schrödinger equations with general Sobolev critical nonlinearities
by: Liu, Manting, et al.
Published: (2022)

Inhomogeneous nonlinear Schrödinger equations with competing singular nonlinearities
by: Gloss, Elisandra, et al.
Published: (2026)

High-Velocity Inverse Scattering for Nonlinear Schrödinger Equations with Spatially Dependent Nonlinearities
by: Masaki, Satoshi, et al.
Published: (2026)

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

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

Remarks on the derivation of the virial identity for nonlinear Schrödinger equations
by: Ikeda, Tomoyuki, et al.
Published: (2025)

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

Global well-posedness of the NLS hierarchy with nonzero boundary condition
by: Liao, Xian, et al.
Published: (2025)

Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain
by: Georgiev, Vladimir, et al.
Published: (2019)

On the fractional Schödinger equation with variable coefficients
by: Kenig, C. E., et al.
Published: (2024)

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

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

On the well-posedness of the KP-I equation
by: Guo, Zihua, et al.
Published: (2024)

Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$
by: Lai, Ning-An, et al.
Published: (2025)

Time-averaged statistics of the 3D stochastic Ladyzhenskaya-Smagorinsky equations
by: Fan, Louis Wai-Tong, et al.
Published: (2025)

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

On growth of Sobolev norms for periodic nonlinear Schrödinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics
by: Höfer, Fabian, et al.
Published: (2024)

A system of continuity equations with nonlocal interactions of Morse type
by: Di Francesco, Marco, et al.
Published: (2024)

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

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

Variational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation
by: Mercuri, Carlo, et al.
Published: (2024)

New solutions to Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces
by: Marinho, Artur Jorge, et al.
Published: (2026)

Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data
by: Zhang, J., et al.
Published: (2025)

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

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

Modified scattering type asymptotic behavior for a quadratic nonlinear Schrödinger system under the mass-resonance condition in two dimensions
by: Masaki, Satoshi, et al.
Published: (2026)

Global dynamics above the ground state for the energy-critical Hartree equation with radial data
by: Li, Xuemei, 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 nonexistence of NLS breathers
by: Alejo, Miguel Á., et al.
Published: (2024)

Blowup of cylindrically symmetric solutions for biharmonic NLS
by: Gou, Tianxiang
Published: (2022)

Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun
Published: (2022)

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