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 is an element of R-3.
On the lack of dispersion for a class of magnetic Dirac flows / Naiara, Arrizabalaga; Fanelli, Luca; Andoni, Garcia. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 13:1(2013), pp. 89-106. [10.1007/s00028-012-0170-2]
On the lack of dispersion for a class of magnetic Dirac flows
FANELLI, Luca;
2013
Abstract
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 is an element of R-3.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
