Global well-posedness for nonlinear Schrödinger equations with energy-critical damping
Electronic journal of differential equations, Tome 2015 (2015)
We consider the Cauchy problem for the nonlinear Schrodinger equations with energy-critical damping. We prove the existence of global in-time solutions for general initial data in the energy space. Our results extend some results from [1,2].
Classification : 35J60, 35Q55
Keywords: nonlinear Schrödinger equation, global solution, energy-critical damping
@article{EJDE_2015__2015__a29,
     author = {Feng,  Binhua and Zhao,  Dun},
     title = {Global well-posedness for nonlinear {Schr\"odinger} equations with energy-critical damping},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1315.35202},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a29/}
}
TY  - JOUR
AU  - Feng,  Binhua
AU  - Zhao,  Dun
TI  - Global well-posedness for nonlinear Schrödinger equations with energy-critical damping
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a29/
LA  - en
ID  - EJDE_2015__2015__a29
ER  - 
%0 Journal Article
%A Feng,  Binhua
%A Zhao,  Dun
%T Global well-posedness for nonlinear Schrödinger equations with energy-critical damping
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a29/
%G en
%F EJDE_2015__2015__a29
Feng,  Binhua; Zhao,  Dun. Global well-posedness for nonlinear Schrödinger equations with energy-critical damping. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a29/