On threshold solutions of the equivariant Chern-Simons-Schrödinger equation

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09045

zbMATH Keywords

self-duality Chern-Simons-Schrödinger equation minimal blowup solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Integro-partial differential equations (35R09)

Related Items (2)

Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation ⋮ A Liouville theorem for the Chern-Simons-Schrödinger equation

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations
Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
Equivariant Schrödinger maps in two spatial dimensions
Energy solution to the Chern-Simons-Schrödinger equations
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\)
Standing waves of nonlinear Schrödinger equations with the gauge field
Dynamics for the focusing, energy-critical nonlinear Hartree equation
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data
Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications
Symmetric Chern-Simons-Higgs vortices
Nonlinear Schrödinger equations and sharp interpolation estimates
Dynamic of threshold solutions for energy-critical NLS
Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state
Threshold solutions for the focusing 3D cubic Schrödinger equation
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
The cubic nonlinear Schrödinger equation in two dimensions with radial data
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
Two-bubble dynamics for threshold solutions to the wave maps equation
Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system
The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
SELF-DUAL CHERN-SIMONS SOLITONS IN NONLINEAR σ-MODELS
Local Wellposedness of Chern–Simons–Schrödinger
Dynamics for the energy critical nonlinear wave equation in high dimensions
Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation
Decay and Scattering for the Chern–Simons–Schrödinger Equations
Dynamics of Threshold Solutions for Energy-Critical Wave Equation
Minimal-mass blowup solutions of the mass-critical NLS
Blow-up solutions of the Chern–Simons–Schrödinger equations
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass
Equivariant wave maps in two space dimensions
Schrödinger maps
Self-dual Chern-Simons vortices
Breathing vortex solitons in nonrelativistic Chern-Simons gauge theory
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
Characterization of large energy solutions of the equivariant wave map problem: I
The equivalence of the Chern-Simons-Schrödinger equations and its self-dual system
On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability

This page was built for publication: On threshold solutions of the equivariant Chern-Simons-Schrödinger equation