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

Michelangeli, Alessandro
2015
  • journal article

Periodico
NONLINEARITY
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.
DOI
10.1088/0951-7715/28/8/2743
WOS
WOS:000360499100008
Archivio
http://hdl.handle.net/20.500.11767/32832
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84947569592
Diritti
metadata only access
Soggetti
  • energy method

  • Hartree equation

  • magnetic Strichartz e...

  • non-linear Schröding...

  • quadratic form

  • self-adjointness

  • Settore MAT/07 - Fisi...

Scopus© citazioni
4
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
6
Data di acquisizione
Mar 2, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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