Global Well-Posedness for Cubic NLS with Nonlinear Damping

Paolo Antonelli, Christof Sparber

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)2310-2328
Number of pages19
JournalCommunications in Partial Differential Equations
Issue number12
StatePublished - Nov 4 2010
Externally publishedYes

Bibliographical note

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.


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