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


Dive into the research topics of 'Global Well-Posedness for Cubic NLS with Nonlinear Damping'. Together they form a unique fingerprint.

Cite this