Time decay for solutions of Schrödinger equations with rough and time dependent potentials

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dc.creatorRodnianski, I.
dc.creatorSchlag, W.
dc.date2001-10-09
dc.date2001-10-12
dc.date.accessioned2026-07-07T04:43:44Z
dc.date.available2026-07-07T04:43:44Z
dc.descriptionWe establish dispersive and Strichartz estimates for solutions to the linear time-dependent Schrödinger equations with potential in three dimensions. Our main focus is on the small rough time-dependent potentials. Examples of such potentials are of the form $V(t,x)=T(t) V_0(x)$, where $T$ is quasiperiodic in time and $V_0$ is essentially an $L^{3/2}$ function of the spatial variables. We also prove the dispersive estimates for small time-independent potentials which belong to the interestion of the Rollnik and global Kato classes. Finally, we settle the question posed by Journe, Soffer, Sogge concerning Strichartz estimates for potentials that decay faster than $|x|^{-2}$.
dc.descriptioncorrected typo in the abstract
dc.identifierhttps://arxiv.org/abs/math/0110098
dc.identifierhttp://arxiv.org/abs/math/0110098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62355
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleTime decay for solutions of Schrödinger equations with rough and time dependent potentials
dc.typetext

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