Global well-posedness for nonlinear Schrödinger equations with energy-critical damping
Electronic Journal of Differential Equations, Tome 2015 (2015).

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Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a29/}
}
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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/