Geodesic
An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 1069-1079
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We revise the classical approach by Brézis–Gallouët to prove global well-posedness for nonlinear evolution equations. In particular we prove global well-posedness for the quartic NLS on general domains Ω in R2 with initial data in H2(Ω)∩H01(Ω), and for the quartic nonlinear half-wave equation on R with initial data in H1(R).

DOI : 10.1016/j.anihpc.2015.03.004
Keywords: Half-wave equation, Nonlinear Schrödinger equation, Energy estimates, Global existence 
@article{AIHPC_2016__33_4_1069_0,
     author = {Ozawa, Tohru and Visciglia, Nicola},
     title = {An improvement on the {Br\'ezis{\textendash}Gallou\"et} technique for {2D} {NLS} and {1D} half-wave equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1069--1079},
     year = {2016},
     publisher = {Elsevier},
     volume = {33},
     number = {4},
     doi = {10.1016/j.anihpc.2015.03.004},
     mrnumber = {3519532},
     zbl = {1351.35188},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.03.004/}
}
TY  - JOUR
AU  - Ozawa, Tohru
AU  - Visciglia, Nicola
TI  - An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2016
SP  - 1069
EP  - 1079
VL  - 33
IS  - 4
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.03.004/
DO  - 10.1016/j.anihpc.2015.03.004
LA  - en
ID  - AIHPC_2016__33_4_1069_0
ER  - 
%0 Journal Article
%A Ozawa, Tohru
%A Visciglia, Nicola
%T An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation
%J Annales de l'I.H.P. Analyse non linéaire
%D 2016
%P 1069-1079
%V 33
%N 4
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.03.004/
%R 10.1016/j.anihpc.2015.03.004
%G en
%F AIHPC_2016__33_4_1069_0
Ozawa, Tohru; Visciglia, Nicola. An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 1069-1079. doi: 10.1016/j.anihpc.2015.03.004

Cité par Sources :