Poincaré's inequality and diffusive evolution equations

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dc.creatorBjorland, Clayton
dc.creatorSchonbek, Maria E.
dc.date2007-11-10
dc.date.accessioned2026-07-07T08:42:17Z
dc.date.available2026-07-07T08:42:17Z
dc.descriptionThis paper addresses the question of change of decay rate from exponential to algebraic for diffusive evolution equations. We show how the behaviour of the spectrum of the Dirichlet Laplacian in the two cases yields the passage from exponential decay in bounded domains to algebraic decay or no decay at all in the case of unbounded domains. It is well known that such rates of decay exist: the purpose of this paper is to explain what makes the change in decay happen. We also discuss what kind of data is needed to obtain various decay rates.
dc.description16 pages. Submitted
dc.identifierhttps://arxiv.org/abs/0711.1626
dc.identifierhttp://arxiv.org/abs/0711.1626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141905
dc.subjectAnalysis of PDEs
dc.subjectHistory and Overview
dc.subject35Q35, 76B03
dc.titlePoincaré's inequality and diffusive evolution equations
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