Remarks on derivative nonlinear Schrödinger systems with multiple masses

Abstract

We prove global existence of small solutions to the initial value problem for a class of cubic derivative nonlinear Schrödinger systems with the masses satisfying suitable non-resonance relations. The large-time asymptotics of the solutions are also shown. This work is intended to provide a counterpart of the previous paper (arXiv:1507.07617) in which the mass resonance case was treated.

17 pages

References in corpus (2)

• The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension
• Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance

Cited by in corpus (3)

• Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension
• Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions
• On the derivative nonlinear Schrödinger equation with weakly dissipative structure