On the wave equation with a large rough potential

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dc.creatorD'Ancona, Piero
dc.creatorPierfelice, Vittoria
dc.date2003-10-14
dc.date2005-05-10
dc.date.accessioned2026-07-07T05:01:53Z
dc.date.available2026-07-07T05:01:53Z
dc.descriptionWe prove an optimal dispersive $L^{\infty}$ decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. The proof is based on a spectral representation of the solution and suitable resolvent estimates for the perturbed operator.
dc.descriptionMajor revision, corrected & augmented - 32 pages
dc.identifierhttps://arxiv.org/abs/math/0310199
dc.identifierhttp://arxiv.org/abs/math/0310199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68844
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35L70; 58J45; 58J50
dc.titleOn the wave equation with a large rough potential
dc.typetext

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