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arXiv · 0808.1622

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

Daoyuan Fang·Zheng Han
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Abstract

This paper is devoted to a comprehensive study of the nonlinear Schrödinger 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.

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Daoyuan Fang, Zheng Han. 2008-08-12. The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree. https://arxiv.org/abs/0808.1622

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