Global Well-Posedness for Cubic NLS with Nonlinear Damping

Paolo Antonelli; Christof Sparber

doi:10.1080/03605300903540943

Global Well-Posedness for Cubic NLS with Nonlinear Damping

Paolo Antonelli, Christof Sparber

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2310-2328
Number of pages	19
Journal	Communications in Partial Differential Equations
Volume	35
Issue number	12
DOIs	https://doi.org/10.1080/03605300903540943
State	Published - Nov 4 2010
Externally published	Yes

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.

Access to Document

10.1080/03605300903540943

Cite this

@article{931cd5544ffa456da39389562838abfb,

title = "Global Well-Posedness for Cubic NLS with Nonlinear Damping",

abstract = "We study the Cauchy problem for the cubic nonlinear Schr{\"o}dinger 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. {\textcopyright} Taylor & Francis Group, LLC.",

author = "Paolo Antonelli and Christof Sparber",

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.",

year = "2010",

month = nov,

day = "4",

doi = "10.1080/03605300903540943",

language = "English (US)",

volume = "35",

pages = "2310--2328",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

number = "12",

}

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 -

Global Well-Posedness for Cubic NLS with Nonlinear Damping

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this