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arXiv:0808.1622 [math.AP]AbstractReferencesReviewsResources

The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree

Daoyuan Fang, Zheng Han

Published 2008-08-12Version 1

This paper is devoted to a comprehensive study of the nonlinear Schr\"odinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\ge3. With some structural conditions, a nearly whole picture of the interactions of these nonlinearities in the energy space is given. The method is based on the Morawetz estimates and perturbation principles.

Categories: math.AP
Subjects: 35Q40, 35Q55, 47J35
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