Global Well-Posedness for Cubic NLS with Nonlinear Damping

Type
Article
Authors
Antonelli, Paolo
Sparber, Christof
KAUST Grant Number
KUK-I1-007-43
Date
2010-11-04
Permanent link to this record
http://hdl.handle.net/10754/598416

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Abstract
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.
Citation
Antonelli P, Sparber C (2010) Global Well-Posedness for Cubic NLS with Nonlinear Damping. Communications in Partial Differential Equations 35: 2310–2328. Available: http://dx.doi.org/10.1080/03605300903540943.
Sponsors
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.
Publisher
Informa UK Limited
Journal
Communications in Partial Differential Equations
DOI
10.1080/03605300903540943
Collections
Publications Acknowledging KAUST Support