Blow-up solutions to the nonlinear Schrodinger equation with oscillating nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:352

Article

Damergi, Ibtissem²  Goubet, Olivier¹ 

[1] Univ Picardie Jules Verne, LAMFA, CNRS, UMR 6140, F-80039 Amiens, France

[2] Fac Sci Monastir, Unite Rech Ondelettes & Fractals, Monastir 5000, Tunisia

关键词: Finite time blow-up;    Schrodinger equations;   

DOI  :  10.1016/j.jmaa.2008.07.079

来源: Elsevier

【 摘 要 】

In this article we investigate the possibility of finite time blow-up in H-1 (R-2) for solutions to critical and supercritical nonlinear Schrodinger 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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free