A blowup result for the periodic NLS without gauge invariance

Tadahiro Oh

Type: Article

Publication Date: 2012-04-01

Citations: 22

DOI: https://doi.org/10.1016/j.crma.2012.04.009

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Comptes Rendus Mathématique - View
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
French digital mathematics library (Numdam) - View - PDF
Comptes Rendus Mathématique - View - PDF

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+	Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance	2016	Kazumasa Fujiwara Tohru Ozawa
+ PDF Chat	Nonlinear smoothing for the periodic generalized nonlinear Schrödinger equation	2022	Ryan McConnell
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+	Some non-existence results for the semilinear Schrödinger equation without gauge invariance	2015	Masahiro Ikeda Takahisa Inui
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Works Cited by This (9)

Action	Title	Year	Authors
+	A blow-up result for a nonlinear wave equation with damping: The critical case	2001	Qi S. Zhang
+	Exponential sums and nonlinear Schrödinger equations	1993	Jean Bourgain
+	Blow-up results for nonlinear parabolic equations on manifolds	1999	Qi S. Zhang
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain
+	Nonlinear Schrödinger Equations	1999	Jean Bourgain
+	Nonexistence of a non-trivial global weak solution for the nonlinear Schr\"{0}dinger equation with a nongauge invariant power nonlinearity	2011	Masahiro Ikeda Yuta Wakasugi
+ PDF Chat	Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in H1(T3)	2011	Sebastian Herr Daniel Tataru Nikolay Tzvetkov
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave