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math.AP2011★ 1 cited
A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions
Masahiro Ikeda, Akihiro Shimomura, Hideaki Sunagawa
We consider the massive Dirac-Klein-Gordon system in two space dimensions. Under the non-resonace mass condition, we show that the solution is asymptotically free if the initial da…
math.AP2011★ 24 cited
Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance
Masahiro Ikeda, Yuta Wakasugi
We study the initial value problem for the nonlinear Schrödinger equation. We will prove that the blow-up of the L^{2}-norm of solutions with suitable initial data. We impose a con…