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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$\| u(t) \|_L ^2$ .
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Submitted on : Thursday, June 22, 2017 - 1:58:55 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Wednesday, January 10, 2018 - 2:54:41 PM

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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⟩

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