Asymptotic behavior for the long-range nonlinear Schr\"odinger equation on star graph with the Kirchhoff boundary condition

• Main Authors: Aoki, Kazuki, Inui, Takahisa, Miyazaki, Hayato, Mizutani, Haruya, Uriya, Kota
• Format: Journal Article
• Language: English
• Published: 24.06.2020
• Subjects: Mathematics - Analysis of PDEs

Pure Appl. Analysis 4 (2022) 287-311 We consider the cubic nonlinear Schr\"{o}dinger equation on the star graph with the Kirchhoff boundary condition. We prove modified scattering for the final state problem and the initial value problem. Moreover, we also consider the failure of scattering for...