On the lack of dispersion for a class of magnetic Dirac flows
We show that global Strichartz estimates for magnetic Dirac operators generally fail, if the potentials do not decay fast enough at infinity. In order to prove this, we construct some explicit examples of homogeneous magnetic potentials with less than Coulomb decay, that is, with homogeneity-degree...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/69700 |
| Acceso en línea: | http://hdl.handle.net/10810/69700 |
| Access Level: | acceso abierto |
| Palabra clave: | Dirac equation Strichartz estimates dispersive equations magnetic potential |
| Sumario: | We show that global Strichartz estimates for magnetic Dirac operators generally fail, if the potentials do not decay fast enough at infinity. In order to prove this, we construct some explicit examples of homogeneous magnetic potentials with less than Coulomb decay, that is, with homogeneity-degree more than −1, such that the magnetic field points to a fixed direction, which does not depend on x ∈ R3 . |
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