@article{70b98188bf344a508da62ac19600d145,
title = "Final state problem for a quadratic nonlinear Schr{\"o}dinger system in two space dimensions with mass resonance",
abstract = "We consider the asymptotic behavior of a solution to a quadratic nonlinear Schr{\"o}dinger system in two space dimensions. We construct a particular solution which describes the charge dissipation phenomenon in spite of the mass preserving structure of the system. This is a consequence of a new explicit solution to a system of ordinary differential equation which approximates asymptotic behavior of a solution to the system.",
author = "Takayoshi Ogawa and Kota Uriya",
note = "Funding Information: The authors would like to express their sincere gratitude to Professor Nakao Hayashi and Professor Hideaki Sunagawa for their valuable suggestions. The work of Takayoshi Ogawa is partially supported by JSPS Grant-in-aid for scientific research, Basic Research S # 25220702 . Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",
year = "2015",
doi = "10.1016/j.jde.2014.09.022",
language = "English",
volume = "258",
pages = "483--503",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "2",
}