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

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

2008-08-12

arxiv.org/abs/0808.1622v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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