On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
From MaRDI portal
Publication:2119880
DOI10.1016/j.jde.2022.03.008zbMath1490.35415arXiv2109.04680OpenAlexW4221131123MaRDI QIDQ2119880
Masahiro Ikeda, Noriyoshi Fukaya, Vladimir Georgiev
Publication date: 30 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.04680
Related Items
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ NLS ground states on the half-line with point interactions ⋮ Failure of scattering for the NLSE with a point interaction in dimension two and three ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Blow-up and instability of standing waves for the NLS with a point interaction in dimension two ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space
- Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
- Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- Stable standing waves of nonlinear Klein-Gordon equations
- On the bound states of the nonlinear Schrödinger equation with a linear potential
- Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
- Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential
- Nonlinear Schrödinger equation with a point defect
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Instability of nonlinear bound states
- Stability theory of solitary waves in the presence of symmetry. I
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- A different approach to singular solutions
- Stability of standing waves for nonlinear Schrödinger equations with potentials
- Instability of standing waves for nonlinear Schrödinger equations with potentials
- On fractional powers of singular perturbations of the Laplacian
- \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction
- Strong NLS soliton-defect interactions
- Energy methods for abstract nonlinear Schrödinger equations
- On asymptotic stability of solitons in a nonlinear Schrödinger equation
- Blow-up for the pointwise NLS in dimension two: absence of critical power
- \(L^p\)-boundedness of wave operators for 2D Schrödinger operators with point interactions
- Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
- Stability of the standing waves of the concentrated NLSE in dimension two
- Well posedness of the nonlinear Schrödinger equation with isolated singularities
- Point-like perturbed fractional Laplacians through shrinking potentials of finite range
- Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential
- Fast soliton scattering by delta impurities
- Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials
- Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On Asymptotic Stability of Solitary Waves in Schrödinger Equation Coupled to Nonlinear Oscillator
- Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- Singular Hartree equation in fractional perturbed Sobolev spaces
- Fractional powers and singular perturbations of quantum differential Hamiltonians
- Scattering for the 𝐿² supercritical point NLS
- Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
- Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators
- On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential
- Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications
- Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three
- Dispersive estimate for the Schrödinger equation with point interactions
- Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
