Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions

Tsukasa Iwabuchi, Takayoshi Ogawa, Kota Uriya

研究成果: Article査読

抄録

This paper concerns the ill-posedness issue for a system of quadratic nonlinear Schrödinger equations in two dimensions. From previous studies for the large time behavior of the solution to the system, one may expect that the critical regularity to show the well-posedness depends on the dispersion coefficients. To prove the ill-posedness, we show the failure of the uniform continuity of the data-solution map for the mass resonance case and show the norm inflation for other cases.

本文言語English
ページ(範囲)136-163
ページ数28
ジャーナルJournal of Functional Analysis
271
1
DOI
出版ステータスPublished - 2016 7 1

ASJC Scopus subject areas

  • 分析

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