Geodesic
Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
Changxing Miao 1   ; Guixiang Xu 1   ; Lifeng Zhao 2
1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing, China, 100088
2 Department of Mathematics University of Science and Technology of China
Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 213-236 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and $\dot{H}^1$ norm less than those of the ground state in $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.
DOI : 10.4064/cm114-2-5
Keywords: establish global existence scattering radial solutions energy critical focusing hartree equation energy dot norm those ground state mathbb times mathbb geq

Changxing Miao  1   ; Guixiang Xu  1   ; Lifeng Zhao  2

1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing, China, 100088
2 Department of Mathematics University of Science and Technology of China 
@article{10_4064_cm114_2_5,
     author = {Changxing Miao and Guixiang Xu and Lifeng Zhao},
     title = {Global well-posedness, scattering and blow-up for the
 energy-critical, focusing {Hartree} equation in the radial case},
     journal = {Colloquium Mathematicum},
     pages = {213--236},
     year = {2009},
     volume = {114},
     number = {2},
     doi = {10.4064/cm114-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm114-2-5/}
}
TY  - JOUR
AU  - Changxing Miao
AU  - Guixiang Xu
AU  - Lifeng Zhao
TI  - Global well-posedness, scattering and blow-up for the
 energy-critical, focusing Hartree equation in the radial case
JO  - Colloquium Mathematicum
PY  - 2009
SP  - 213
EP  - 236
VL  - 114
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm114-2-5/
DO  - 10.4064/cm114-2-5
LA  - en
ID  - 10_4064_cm114_2_5
ER  - 
%0 Journal Article
%A Changxing Miao
%A Guixiang Xu
%A Lifeng Zhao
%T Global well-posedness, scattering and blow-up for the
 energy-critical, focusing Hartree equation in the radial case
%J Colloquium Mathematicum
%D 2009
%P 213-236
%V 114
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm114-2-5/
%R 10.4064/cm114-2-5
%G en
%F 10_4064_cm114_2_5
Changxing Miao; Guixiang Xu; Lifeng Zhao. Global well-posedness, scattering and blow-up for the
 energy-critical, focusing Hartree equation in the radial case. Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 213-236. doi: 10.4064/cm114-2-5

Cité par Sources :