Cover Image

Global existence, blowup phenomena, and asymptotic behavior for quasilinear Schrödinger equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	An, Xiaowei, Song, Xianfa
Format:	Preprint
Published:	2018
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 solutions for 1D cubic dispersive equations, Part III: the quasilinear Schrödinger flow
by: Ifrim, Mihaela, et al.
Published: (2023)

Asymptotic behavior of mass-critical Schrödinger equation in $ \mathbb{R}$
by: Meng, Fanfei, et al.
Published: (2025)

Standing wave solutions of a quasilinear Schrödinger equation in the small frequency limit
by: Genoud, François, et al.
Published: (2024)

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

Global existence and blow-up for the variable coefficient Schrödinger equations with a linear potential
by: Zheng, Bowen, et al.
Published: (2024)

Coupled nonlinear Schrödinger equations with point interaction: existence and asymptotic behaviour
by: Osada, Yuki, et al.
Published: (2025)

Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions
by: Ifrim, Mihaela, 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 cubic-quintic Schrödinger equation
by: Baldelli, Laura
Published: (2025)

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

A Paley-Wiener type uniqueness result for the electromagnetic Schrödinger equation
by: Song, Yilin, et al.
Published: (2026)

Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance
by: Miyazaki, Hayato, et al.
Published: (2025)

On stability of self-similar blowup for mass supercritical NLS
by: Li, Zexing
Published: (2023)

Symmetric hyperbolic Schrödinger equations on tori
by: Liu, Baoping, et al.
Published: (2026)

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

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

Biharmonic non-linear Schrödinger equation with an unbounded inhomogeneous term
by: Enaoufal, Taif Abdullah, et al.
Published: (2025)

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

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

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

Decomposition of global solutions of bi-laplacian Nonautonomous Schrödinger equations
by: Soffer, Avy, et al.
Published: (2023)

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton
by: Dodson, Benjamin
Published: (2021)

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)

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

On the existence of ground states to Hartree-type equations in $\mathbb{R}^3$ with a delta potential
by: Ramos, Gustavo de Paula
Published: (2024)

A note on the fourth-order Schrodinger equation with spatially growing inhomogeneous source term
by: Alqaied, Alaa Mohammed, 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)

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schrödinger equations
by: Hirayama, Hiroyuki, 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)

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

On dispersion managed nonlinear Schrödinger equations with lumped amplification
by: Choi, Mi-Ran, et al.
Published: (2020)

Radial symmetry, uniqueness and non-degeneracy of solutions to degenerate nonlinear Schrödinger equations
by: Gou, Tianxiang
Published: (2025)

Stability of standing waves for all frequencies to nonlinear Schrödinger equations with potentials in one dimension
by: Fukaya, Noriyoshi, et al.
Published: (2025)

Standing waves for defocusing nonlinear Schrödinger equations with point interaction
by: Fukaya, Noriyoshi, et al.
Published: (2026)

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

Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
by: Ifrim, Mihaela, et al.
Published: (2024)