dc.contributor.author Tasena, Santi en_US dc.date.accessioned 2013-07-23T18:24:04Z dc.date.available 2016-09-27T05:39:46Z dc.date.issued 2011-05-29 en_US dc.identifier.other bibid: 8213931 dc.identifier.uri https://hdl.handle.net/1813/33627 dc.description.abstract This thesis is concerned with heat kernel estimates on weighted Dirichlet spaces. The Dirichlet forms considered here are strongly local and regular. They are defined on a complete locally compact separable metric space. The associated heat equation is similar to that of local divergence form differential operators. The weight functions studied have the form of a function of the distance from a closed set [SIGMA], that is, x [RIGHTWARDS ARROW] a(d( x, [SIGMA])). We place conditions on the geometry of the set [SIGMA] and the growth rate of function a itself. The function a can either blow up at 0 or [INFINITY] or both. Some results include the case where [SIGMA] separates the whole spaces. It can also apply to the case where [SIGMA] do not separate the space, for example, a domain Ω and its boundary [SIGMA] = ∂Ω. The condition on [SIGMA] is rather mild and do not assume differentiability condition. en_US dc.language.iso en_US en_US dc.subject poincare inequality en_US dc.subject doubling en_US dc.subject remotely constant en_US dc.title Heat Kernal Analysis On Weighted Dirichlet Spaces en_US dc.type dissertation or thesis en_US thesis.degree.discipline Mathematics thesis.degree.grantor Cornell University en_US thesis.degree.level Doctor of Philosophy thesis.degree.name Ph. D., Mathematics dc.contributor.chair Saloff-Coste, Laurent Pascal en_US dc.contributor.committeeMember Cao, Xiaodong en_US dc.contributor.committeeMember Gross, Leonard en_US
﻿