Diophantine approximation with perfect squares and the solvability of an inhomogeneous wave equation

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dc.creatorBeresnevich, V.
dc.creatorDodson, M.
dc.creatorKristensen, S.
dc.creatorLevesley, J.
dc.date2005-12-29
dc.date.accessioned2026-07-07T06:55:53Z
dc.date.available2026-07-07T06:55:53Z
dc.descriptionThe Hausdorff dimension of an exceptional set of periods for which convergence of a formal solution to an inhomogeneous wave equation in n spatial and one temporal dimension is problematic, is determined along with conditions which the periods must satisfy to ensure the solvability of the inhomogeneous wave equation by a smooth periodic function. To derive this information, a complete metric theory for a related fully nonlinear Diophantine approximation problem involving perfect squares is established.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0512644
dc.identifierhttp://arxiv.org/abs/math/0512644
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106431
dc.subjectAnalysis of PDEs
dc.subjectNumber Theory
dc.subject35L05 (Primary); 11J83, 11J13, 11K60 (Secondary)
dc.titleDiophantine approximation with perfect squares and the solvability of an inhomogeneous wave equation
dc.typetext

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