Subcritical Lp bounds on spectral clusters for Lipschitz metrics

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dc.creatorKoch, Herbert
dc.creatorSmith, Hart F.
dc.creatorTataru, Daniel
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:23Z
dc.date.available2026-07-07T08:30:23Z
dc.descriptionWe establish asymptotic bounds on the L^p norms of spectrally localized functions in the case of two-dimensional Dirichlet forms with coefficients of Lipschitz regularity. These bounds are new for the range p>6. A key step in the proof is bounding the rate at which energy spreads for solutions to hyperbolic equations with Lipschitz coefficients.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0709.2764
dc.identifierhttp://arxiv.org/abs/0709.2764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138228
dc.subjectAnalysis of PDEs
dc.subject35P15
dc.titleSubcritical Lp bounds on spectral clusters for Lipschitz metrics
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