Counterexamples to Strichartz estimates for the magnetic Schroedinger equation

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dc.creatorFanelli, Luca
dc.creatorGarcia, Andoni
dc.date2009-04-07
dc.date.accessioned2026-07-07T13:01:17Z
dc.date.available2026-07-07T13:01:17Z
dc.descriptionIn space dimension $n\geq3$, we consider the magnetic Schrödinger Hamiltonian $H=-(\nabla-iA(x))^2$ and the corresponding Schrödinger equation i\partial_tu+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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0904.1129
dc.identifierhttp://arxiv.org/abs/0904.1129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226103
dc.subjectAnalysis of PDEs
dc.subject35L05; 58J45
dc.titleCounterexamples to Strichartz estimates for the magnetic Schroedinger equation
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