Scattering for NLS with a delta potential
From MaRDI portal
Publication:2634271
DOI10.1016/j.jde.2015.11.016zbMath1342.35200arXiv1504.02640OpenAlexW2963363809MaRDI QIDQ2634271
Nicola Visciglia, Valeria Banica
Publication date: 8 February 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.02640
Related Items (25)
Singular Hartree equation in fractional perturbed Sobolev spaces ⋮ Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions ⋮ Scattering for NLS with a potential on the line ⋮ 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 ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension ⋮ Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials ⋮ Scattering for the 𝐿² supercritical point NLS ⋮ Large data scattering for NLKG on waveguide ℝd × 𝕋 ⋮ Non-radial scattering theory for nonlinear Schrödinger equations with potential ⋮ Blow-up for the pointwise NLS in dimension two: absence of critical power ⋮ Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation ⋮ Scattering of solutions to the nonlinear Schrödinger equations with regular potentials ⋮ Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one ⋮ On the Cauchy Problem and the Black Solitons of a Singularly Perturbed Gross--Pitaevskii Equation ⋮ Scattering for NLS with a sum of two repulsive potentials ⋮ Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results ⋮ Global dynamics below the ground state for the focusing semilinear Schrödinger equation with a linear potential ⋮ On the asymptotic behavior of high order moments for a family of Schrödinger equations ⋮ Wave operators on Sobolev spaces ⋮ Threshold scattering for the focusing NLS with a repulsive Dirac delta potential ⋮ On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential ⋮ Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential ⋮ Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction ⋮ Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering for a nonlinear Schrödinger equation with a potential
- Constrained energy minimization and ground states for NLS with point defects
- Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential
- Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
- Dispersive estimates for Schrödinger operators in dimensions one and three
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on \(\mathbb R\)
- Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
- Nonlinear Schrödinger equation with a point defect
- \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator
- Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
- Convergence of solutions of H-systems or how to blow bubbles
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials.
- Oscillations of concentration effects in semilinear dispersive wave equations
- Strong NLS soliton-defect interactions
- The lack of compactness in the Sobolev-Strichartz inequalities
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- The \(W_{k,p}\)-continuity of the Schrödinger wave operators on the line
- Fast soliton scattering by delta impurities
- Slow solution interaction with delta imperiums
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Soliton splitting by external delta potentials
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
- Nonlinear Resonances with a Potential: Multilinear Estimates and an Application to NLS
- Bilinear virial identities and applications
- Breathing patterns in nonlinear relaxation
- Tensor products and correlation estimates with applications to nonlinear Schrödinger equations
- Fast Soliton Scattering by Attractive Delta Impurities
- Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect
- Explicit time-dependent Schrodinger propagators
- Description of the lack of compactness for the Sobolev imbedding
- INHOMOGENEOUS STRICHARTZ ESTIMATES
- Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential
- Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
- The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1
- The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators
- On the defect of compactness for the Strichartz estimates of the Schrödinger equations
This page was built for publication: Scattering for NLS with a delta potential