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On a nonlocal, nonlinear Schrödinger equation occuring in Plasma Physics

Abstract : In this work, our goal is to study the Cauchy problem for a nonlocal, nonlinear Schr ̈odinger equation occuring in Plasma Physics. We shall construct solutions in the energy space; we give some sufficient conditions on the initial data which ensure that the solutions are global and we show that in some cases, finite time blow up occurs. We prove the existence of standing waves, solution to these equations and provide some stability results.
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https://hal.inria.fr/hal-00848075
Contributor : Thierry Colin <>
Submitted on : Thursday, July 25, 2013 - 1:41:36 PM
Last modification on : Thursday, April 15, 2021 - 3:31:54 AM
Long-term archiving on: : Wednesday, April 5, 2017 - 4:39:22 PM

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  • HAL Id : hal-00848075, version 1

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Thierry Colin. On a nonlocal, nonlinear Schrödinger equation occuring in Plasma Physics. Nonlinear evolution equations and dynamical systems, NEED's 92, 1992, Dubna, Russia. ⟨hal-00848075⟩

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