Counterexamples to Strichartz estimates for the magnetic Schrödinger equation

dc.contributor.author	Fanelli, Luca
dc.contributor.author	García Alonso, Andoni
dc.date.accessioned	2024-10-04T13:37:16Z
dc.date.available	2024-10-04T13:37:16Z
dc.date.issued	2011
dc.identifier.citation	Communications in Contemporary Mathematics 13(2) : 213-234 (2011)	es_ES
dc.identifier.issn	0219-1997
dc.identifier.uri	http://hdl.handle.net/10810/69691
dc.description.abstract	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	es_ES
dc.description.sponsorship	The second author is supported by the grant BFI06.42 of the Basque Government.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	World Scientific	es_ES
dc.rights	info:eu-repo/semantics/openAccess	es_ES
dc.subject	Strichartz estimates	es_ES
dc.subject	dispersive equations	es_ES
dc.subject	Schrödinger equation	es_ES
dc.subject	magnetic potential	es_ES
dc.title	Counterexamples to Strichartz estimates for the magnetic Schrödinger equation	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.holder	© 2011 World Scientific Publishing Company	es_ES
dc.relation.publisherversion	https://doi.org/10.1142/S0219199711004245	es_ES
dc.identifier.doi	10.1142/S0219199711004245
dc.departamentoes	Matemáticas	es_ES
dc.departamentoeu	Matematika	es_ES