TY - JOUR
T1 - Global Well-Posedness for Cubic NLS with Nonlinear Damping
AU - Antonelli, Paolo
AU - Sparber, Christof
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: The authors want to thank R. Carles for helpful discussions. This publication is based on work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). The authors thank the Institute for Pure and Applied Mathematics (Los Angeles) for its hospitality and financial support.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2010/11/4
Y1 - 2010/11/4
N2 - We study the Cauchy problem for the cubic nonlinear Schrödinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions for general initial data in the energy space. In particular we treat the energy-critical case of a quintic dissipation in three space dimensions. © Taylor & Francis Group, LLC.
AB - We study the Cauchy problem for the cubic nonlinear Schrödinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions for general initial data in the energy space. In particular we treat the energy-critical case of a quintic dissipation in three space dimensions. © Taylor & Francis Group, LLC.
UR - http://hdl.handle.net/10754/598416
UR - http://www.tandfonline.com/doi/abs/10.1080/03605300903540943
UR - http://www.scopus.com/inward/record.url?scp=78049525386&partnerID=8YFLogxK
U2 - 10.1080/03605300903540943
DO - 10.1080/03605300903540943
M3 - Article
SN - 0360-5302
VL - 35
SP - 2310
EP - 2328
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 12
ER -