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arXiv:0905.3000 [math.AP]AbstractReferencesReviewsResources

Global well-posedness for cubic NLS with nonlinear damping

Paolo Antonelli, Christof Sparber

Published 2009-05-18, updated 2009-11-24Version 4

We study the Cauchy problem for the cubic nonlinear Schroedinger 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.

Comments: minor modifications, more details given
Categories: math.AP, math-ph, math.MP
Subjects: 35Q55, 35A05, 37L05
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