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1. Global Well-Posedness for Cubic NLS with Nonlinear Damping.

Author

Antonelli, Paolo and Sparber, Christof

Subjects
*CAUCHY problem, *PARTIAL differential equations, *SCHRODINGER equation, *QUINTIC equations, *WKB approximation
Abstract

We study the Cauchy problem for the cubic nonlinear Schrodinger 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. [ABSTRACT FROM AUTHOR]

Published
2010
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