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arXiv:1511.08577 [math.AP]AbstractReferencesReviewsResources

Some remarks on the nonlinear Schrödinger equation with fractional dissipation

Mohamad Darwich, Luc Molinet

Published 2015-11-27Version 1

We consider the Cauchy problem for the $L^2$-critical nonlinear Schr\"odinger equation with a fractional dissipation. According to the order of the fractional dissipation, we prove the global existence or the existence of finite time blowup dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$.

Comments: arXiv admin note: text overlap with arXiv:1206.6082
Categories: math.AP
Subjects: 35M11, 35A01
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