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

By Masahiro Ikeda, Yuta Wakasugi. Differential and Integral Equations, 2011

80 citations recorded by the source corpus.

We study the initial value problem for the nonlinear Schr\"odinger 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.

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/210c77c746686d38737f13310cfcd33863d9d0a6