Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential
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Publication:780527
DOI10.2140/apde.2020.13.1099zbMath1447.35299arXiv1807.01423OpenAlexW3035651259MaRDI QIDQ780527
Jason Murphy, Satoshi Masaki, Jun-Ichi Segata
Publication date: 15 July 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.01423
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Related Items (10)
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Global attractor for 3D Dirac equation with nonlinear point interaction ⋮ Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential ⋮ 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 ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ The global well‐posedness for nonlinear Schrödinger equation with the delta potential in the energy space ⋮ Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Standing waves for semilinear Schrödinger equations with discontinuous dispersion
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