Small data global existence for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions
Daisuke Sakoda, Hideaki Sunagawa
TL;DR
This paper proves global existence for small initial data in a class of quadratic derivative nonlinear Schrödinger systems in two dimensions, extending previous results by other researchers.
Contribution
It extends prior work by establishing global existence results for a broader class of quadratic derivative nonlinear Schrödinger systems in two dimensions.
Findings
Global existence for small data established
Extension of previous results by Li and Ikeda et al.
Applicable to a new class of Schrödinger systems
Abstract
This paper provides a small data global existence result for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions. This is an extension of the previous results by Li [Discrete Contin. Dyn. Syst., 32 (2012), 4265--4285] and Ikeda--Katayama--Sunagawa [Ann. H. Poincar\'e 16 (2015), 535--567].
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Stability and Controllability of Differential Equations