Handle URI:
http://hdl.handle.net/10754/598416
Title:
Global Well-Posedness for Cubic NLS with Nonlinear Damping
Authors:
Antonelli, Paolo; Sparber, Christof
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.
Publisher:
Informa UK Limited
Journal:
Communications in Partial Differential Equations
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
4-Nov-2010
DOI:
10.1080/03605300903540943
Type:
Article
ISSN:
0360-5302; 1532-4133
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorAntonelli, Paoloen
dc.contributor.authorSparber, Christofen
dc.date.accessioned2016-02-25T13:20:20Zen
dc.date.available2016-02-25T13:20:20Zen
dc.date.issued2010-11-04en
dc.identifier.citationAntonelli 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.en
dc.identifier.issn0360-5302en
dc.identifier.issn1532-4133en
dc.identifier.doi10.1080/03605300903540943en
dc.identifier.urihttp://hdl.handle.net/10754/598416en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe 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.en
dc.publisherInforma UK Limiteden
dc.subjectDissipationen
dc.subjectEnergy spaceen
dc.subjectNonlinear dampingen
dc.subjectNonlinear schrödinger equationen
dc.subjectThree-body recombinationen
dc.titleGlobal Well-Posedness for Cubic NLS with Nonlinear Dampingen
dc.typeArticleen
dc.identifier.journalCommunications in Partial Differential Equationsen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-I1-007-43en
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