Global well-posedness for cubic NLS with nonlinear damping

Details Global well-posedness for cubic NLS with nonlinear damping Global well-posedness for cubic NLS with nonlinear damping

2009-05-18

arxiv.org/abs/0905.3000v4

Mathematics

Analysis of PDEs

minor modifications, more details given

Scientific paper

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.

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