The global well‐posedness for nonlinear Schrödinger equation with the delta potential in the energy space

DOI10.1002/mma.9114OpenAlexW4320036457MaRDI QIDQ6143548

Xing Dong Tang, Xiaoqing Yu, Unnamed Author

Publication date: 5 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9114

zbMATH Keywords

invariant setvariational methodglobal well-posedness

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential
• Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
• Nonlinear Schrödinger equation with a point defect
• Strong NLS soliton-defect interactions
• Scattering threshold for the focusing nonlinear Klein-Gordon equation
• Soliton-defect collisions in the nonlinear Schrödinger equation
• Instability of the solitary waves for the 1d NLS with an attractive delta potential in the degenerate case
• Instability of standing waves for nonlinear Schrödinger equation with delta potential
• Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential
• Solitary waves for nonlinear Schrödinger equation with derivative

This page was built for publication: The global well‐posedness for nonlinear Schrödinger equation with the delta potential in the energy space