Journal article
A note on the illposedness for anisotropic nonlinear Schrödinger equation
Acta mathematica Sinica. English series, Vol.24(6), pp.891-900
07/16/2008
DOI: 10.1007/s10114-007-5418-3
Abstract
In this short note, we show the illposedness of anisotropic Schrödinger equation in L 2 if the growth of nonlinearity is larger than a threshold power p c which is also the critical power for blowup, as Fibich, Ilan and Schochet have pointed out recently. The illposedness in anisotropic Sobolev space H 2s,sk,d−k where 0 < s < s c , sc=d2−k4−2p−1sc=d2−k4−2p−1, and the illposedness in Sobolev space of negative order H s, s < 0 are also proved
Details
- Title: Subtitle
- A note on the illposedness for anisotropic nonlinear Schrödinger equation
- Creators
- Xiao Yi Zhang - Mathematics
- Resource Type
- Journal article
- Publication Details
- Acta mathematica Sinica. English series, Vol.24(6), pp.891-900
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- DOI
- 10.1007/s10114-007-5418-3
- ISSN
- 1439-8516
- eISSN
- 1439-7617
- Language
- English
- Date published
- 07/16/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984240867702771
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