Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
By Percy Deift, Jung-Joon Park. 2011
99 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dc0c16a0c70ae20fd0b172eaca030deb7f47cb7d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Dmitry E. Pelinovsky
- Scipio Cuccagna
- Yusuke Shimabukuro
- R. Jenkins
- G. Perelman
- Avi Soffer
- Michael I. Weinstein
In Statistical and Nonlinear Physics
- Dmitry E. Pelinovsky
- Scipio Cuccagna
- Yusuke Shimabukuro
- R. Jenkins
- G. Perelman
- Avi Soffer
- Michael I. Weinstein
Citations in the corpus
- Existence of global solutions to the derivative NLS equation with the inverse scattering transform method (2016, methodology): “, for u0 ∈ H1(R)∩L2,1(R) [11, 12, 40] or for u0 ∈ H1(R)∩L2,s(R) with s > 12 [10].”
- On the Asymptotic Stability of N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${N}$$\end{document}-Soliton Solutions (2016, background): “The situation is somewhat better understood in the integrable setting where the inverse scattering transform (IST) gives one much stronger control on the behavior of solutions thanpurely analytic techniques [12,14,16,20,29,41].”