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

TitleGlobal well-posedness of the magnetic Hartree equation with non-Strichartz external fields
Publication TypePreprint
2015
AuthorsMichelangeli, A
Document NumberSISSA;07/2015/MATE
InstitutionSISSA

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.

http://urania.sissa.it/xmlui/handle/1963/34440

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