Global well-posedness of the magnetic Hartree equation with non-Strichartz external fields

Author: Michelangeli Alessandro  

Publisher: IOP Publishing

E-ISSN: 1361-6544|28|8|2743-2765

ISSN: 0951-7715

Source: Nonlinearity, Vol.28, Iss.8, 2015-08, pp. : 2743-2765

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Abstract

We study the magnetic Hartree equation with external fields to which magnetic Strichartz estimates are not necessarily applicable. We characterise the appropriate notion of energy space and in such a space we prove the global well-posedness of the associated initial value problem by means of energy methods only.