Open AccessRemarks on global existence and blowup for damped nonlinear Schrödinger equations
Author(s) -
Masahoto Ohta,
Grozdena Todorova
Publication year - 2008
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2009.23.1313
Subject(s) - nonlinear system , initial value problem , mathematics , mathematical analysis , cauchy distribution , physics , mathematical physics , quantum mechanics
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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