Decay at infinity for parabolic equations

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dc.creatorSchnürer, Oliver C.
dc.creatorSchwetlick, Hartmut R.
dc.date2005-09-09
dc.date.accessioned2026-07-07T05:23:06Z
dc.date.available2026-07-07T05:23:06Z
dc.descriptionWe consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity field, we study the behavior of solutions as time tends to infinity. We characterize velocity fields, so that positive solutions decay or lift-off at spatial infinity as time tends to infinity. This addresses the question of stability of the zero solution for decaying perturbations.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0509212
dc.identifierhttp://arxiv.org/abs/math/0509212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76304
dc.subjectAnalysis of PDEs
dc.subject35B40
dc.titleDecay at infinity for parabolic equations
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