Global well-posedness for cubic NLS with nonlinear damping
classification
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math-phmath.MP
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cubicglobalnonlinearspacecasecauchydampingdata
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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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