4.5 Article Proceedings Paper

Remarks on global existence and blowup for damped nonlinear Schrodinger equations

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 23, Issue 4, Pages 1313-1325

Publisher

AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2009.23.1313

Keywords

Global existence; blowup; damped nonlinear Schrodinger equation

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We consider the Cauchy problem for the damped nonlinear Schrodinger equations, and prove some blowup and global existence results which depend on the size of the damping coefficient. We also discuss the L(2) concentration phenomenon of blowup solutions in the critical case.

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