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Existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in 3d

Author
Hayashi, Nakao

Naumkin, Pavel l.

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1597
Abstract
We study asymptotic behavior in time of solutions to nonlinear Schrödinger equations in three space dimensions with quadratic nongauge invariant nonlinearities. Due to the oscillation properties of such nonlinearities the time decay estimates are faster comparing with the case of guge invariant nonlinearities. We prove the existence of solutions to the final problem and large time asymptotics.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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