Critical regularity for elliptic equations from Littlewood-Paley theory

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dc.creatorLabutin, Denis A.
dc.date2005-06-12
dc.date.accessioned2026-07-07T05:20:41Z
dc.date.available2026-07-07T05:20:41Z
dc.descriptionUsing simple facts from harmonic analysis, namely Bernstein inequality and Plansherel isometry, we prove that the pseudodifferential equation $Δ^αu+Vu=0$ improves the Sobolev regularity of solutions provided the potential $V$ is integrable with the critical power $n/2α>1$.
dc.identifierhttps://arxiv.org/abs/math/0506225
dc.identifierhttp://arxiv.org/abs/math/0506225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75464
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J60; 58J05; 58J40
dc.titleCritical regularity for elliptic equations from Littlewood-Paley theory
dc.typetext

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