Global Well-Posedness for Cubic NLS with Nonlinear Damping

Paolo Antonelli, Christof Sparber

Research output: Contribution to journalArticlepeer-review

22 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 languageEnglish (US)
Pages (from-to)2310-2328
Number of pages19
JournalCommunications in Partial Differential Equations
Volume35
Issue number12
DOIs
StatePublished - Nov 4 2010
Externally publishedYes

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