Journal article
Stability of solutions for nonlinear Schrödinger equations in critical spaces
Science China. Mathematics, Vol.54(5), pp.973-986
05/2011
DOI: 10.1007/s11425-011-4204-y
Abstract
We consider the Cauchy problem for nonlinear Schrödinger equation iu
t
+ Δu = ± |u|
p
u,
$\frac{4}
{d} < p < \frac{4}
{{d - 2}}$
in high dimensions d ⩾ 6. We prove the stability of solutions in the critical space
$\dot H_x^{s_p }$
, where
$s_p = \frac{d}
{2} - \frac{2}
{p}$
.
Details
- Title: Subtitle
- Stability of solutions for nonlinear Schrödinger equations in critical spaces
- Creators
- Dong Li - University of IowaXiaoYi Zhang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Science China. Mathematics, Vol.54(5), pp.973-986
- Publisher
- SP Science China Press
- DOI
- 10.1007/s11425-011-4204-y
- ISSN
- 1674-7283
- eISSN
- 1869-1862
- Language
- English
- Date published
- 05/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984240875802771
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