Counterexamples to Strichartz estimates for the magnetic Schrödinger equation

In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x))2 and the corresponding Schrödinger equation iτu + Hu=0. We show some explicit examples of potentials A, with less than Coulomb decay, for which any solution of this equation cannot satisfy Strichartz estim...

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Detalhes bibliográficos
Autores: Fanelli, Luca, García Alonso, Andoni
Formato: artículo
Fecha de publicación:2011
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/69691
Acesso em linha:http://hdl.handle.net/10810/69691
Access Level:acceso abierto
Palavra-chave:Strichartz estimates
dispersive equations
Schrödinger equation
magnetic potential
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spelling Counterexamples to Strichartz estimates for the magnetic Schrödinger equationFanelli, LucaGarcía Alonso, AndoniStrichartz estimatesdispersive equationsSchrödinger equationmagnetic potentialIn space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x))2 and the corresponding Schrödinger equation iτu + Hu=0. We show some explicit examples of potentials A, with less than Coulomb decay, for which any solution of this equation cannot satisfy Strichartz estimates, in the whole range of Schrödinger admissibilityThe second author is supported by the grant BFI06.42 of the Basque Government.World Scientific202420242011info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/69691reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://doi.org/10.1142/S0219199711004245info:eu-repo/semantics/openAccess© 2011 World Scientific Publishing Companyoai:addi.ehu.eus:10810/696912026-06-18T09:23:17Z
dc.title.none.fl_str_mv Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
title Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
spellingShingle Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
Fanelli, Luca
Strichartz estimates
dispersive equations
Schrödinger equation
magnetic potential
title_short Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
title_full Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
title_fullStr Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
title_full_unstemmed Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
title_sort Counterexamples to Strichartz estimates for the magnetic Schrödinger equation
dc.creator.none.fl_str_mv Fanelli, Luca
García Alonso, Andoni
author Fanelli, Luca
author_facet Fanelli, Luca
García Alonso, Andoni
author_role author
author2 García Alonso, Andoni
author2_role author
dc.subject.none.fl_str_mv Strichartz estimates
dispersive equations
Schrödinger equation
magnetic potential
topic Strichartz estimates
dispersive equations
Schrödinger equation
magnetic potential
description In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x))2 and the corresponding Schrödinger equation iτu + Hu=0. We show some explicit examples of potentials A, with less than Coulomb decay, for which any solution of this equation cannot satisfy Strichartz estimates, in the whole range of Schrödinger admissibility
publishDate 2011
dc.date.none.fl_str_mv 2011
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/69691
url http://hdl.handle.net/10810/69691
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1142/S0219199711004245
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
© 2011 World Scientific Publishing Company
eu_rights_str_mv openAccess
rights_invalid_str_mv © 2011 World Scientific Publishing Company
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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