Skip to Main content Skip to Navigation
Journal articles

SOME REMARKS ON THE NONLINEAR SCHRODINGER EQUATION WITH FRACTIONAL DISSIPATION.

Abstract : We consider the Cauchy problem for the L^ 2-critical focussing nonlinear Schrödinger 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$\| u(t) \|_L ^2$ .
Document type :
Journal articles
Complete list of metadata

Cited literature [37 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01545104
Contributor : Mohamad Darwich <>
Submitted on : Thursday, June 22, 2017 - 1:58:55 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Wednesday, January 10, 2018 - 2:54:41 PM

File

NLS_fractinnaire_revised1.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Mohamad Darwich, Luc Molinet. SOME REMARKS ON THE NONLINEAR SCHRODINGER EQUATION WITH FRACTIONAL DISSIPATION.. Journal of Mathematical Physics, American Institute of Physics (AIP), 2016, 57 (10), pp.101502. ⟨10.1063/1.4965225⟩. ⟨hal-01545104⟩

Share

Metrics

Record views

281

Files downloads

513