Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions

• Published in: arXiv.org
• Main Authors: Masaki, Satoshi, Miyazaki, Hayato, Kota Uriya
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.06.2017
• Subjects: Asymptotic properties; Convergence; Nonlinear equations; Nonlinearity; Polynomials; Schrodinger equation; Time dependence

In this paper, we consider the final state problem for the nonlinear Schr\"odinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomial. In [10], the first and the second authors consider one- and two-dimensional cases and gave a sufficient condit...