Published 2006
| Published
Journal Article
Open
Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity
- Creators
- Liu, Yue
- Wang, Xiao-Ping
- Wang, Ke
Abstract
This paper is concerned with the inhomogeneous nonlinear Shrödinger equation (INLS-equation)iu_t + Δu + V(Єx)│u│^pu = 0, x Є R^N. In the critical and supercritical cases p ≥ 4/N, with N ≥ 2, it is shown here that standing-wave solutions of (INLS-equation) on H^1(R^N) perturbation are nonlinearly unstable or unstable by blow-up under certain conditions on the potential term V with a small Є > 0.
Additional Information
© 2005 American Mathematical Society. Received by the editors April 16, 2003 and, in revised form, April 29, 2004. Article electronically published on May 9, 2005. The authors thank the referee for the careful reading of the manuscript and the valuable comments. This work is supported in part by RGC Competitive Earmarked Research Grant HKUST 6176/99P and HKUST 6143/01P.Attached Files
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Additional details
- Eprint ID
- 24486
- Resolver ID
- CaltechAUTHORS:20110721-080107918
- HKUST 6176/99P
- RGC Competitive Earmarked Research
- HKUST 6143/01P
- RGC Competitive Earmarked Research
- Created
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2011-07-21Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field