A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues

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dc.creatorGoldberg, Michael
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:04:22Z
dc.date.available2026-07-07T10:04:22Z
dc.descriptionWe prove a dispersive estimate for the evolution of Schroedinger operators $H = -Δ+ V(x)$ in ${\mathbb R}^3$. The potential is allowed to be a complex-valued function belonging to $L^p(\R^3)\cap L^q(\R^3)$, $p < \frac32 < q$, so that $H$ need not be self-adjoint or even symmetric. Some additional spectral conditions are imposed, namely that no resonances of $H$ exist anywhere within the interval $[0,\infty)$ and that eigenfunctions at zero (including generalized eigenfunctions) decay rapidly enough to be integrable.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0809.3631
dc.identifierhttp://arxiv.org/abs/0809.3631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169649
dc.subjectAnalysis of PDEs
dc.subject35Q40; 35P25
dc.titleA dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues
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