Blow-up solutions to the nonlinear Schrödinger equation with oscillating nonlinearities |
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| Authors: | Ibtissem Damergi |
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| Affiliation: | a Unité de recherche: Ondelettes et Fractals, Faculté des Sciences de Monastir, Av. de l'environement, 5000 Monastir, Tunisia
b LAMFA CNRS UMR 6140, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens cedex, France |
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| Abstract: | In this article we investigate the possibility of finite time blow-up in H1(R2) for solutions to critical and supercritical nonlinear Schrödinger equations with an oscillating nonlinearity. We prove that despite the oscillations some solutions blow up in finite time. Conversely, we observe that for a given initial data oscillations can extend the local existence time of the corresponding solution. |
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| Keywords: | Finite time blow-up Schrö dinger equations |
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