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arXiv · 1111.0178

Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance

Masahiro Ikeda·Yuta Wakasugi
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Abstract

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 condition related to the sign of the data but put no restriction on their size.

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Masahiro Ikeda, Yuta Wakasugi. 2012-09-25. Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance. https://arxiv.org/abs/1111.0178

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