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    Global Well-Posedness for Cubic NLS with Nonlinear Damping

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    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
    ae974a485f413a2113503eed53cd6c53
    10.1080/03605300903540943
    Scopus Count
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