uu.seUppsala University Publications

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Boundary Estimates for Certain Degenerate and Singular Parabolic EquationsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2016 (English)In: Journal of the European Mathematical Society (Print), ISSN 1435-9855, E-ISSN 1435-9863, Vol. 18, no 2, p. 381-424Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2016. Vol. 18, no 2, p. 381-424
##### Keywords [en]

Degenerate and singular parabolic equations; Harnack estimates; boundary Harnack inequality; Carleson estimate
##### National Category

Mathematical Analysis
##### Identifiers

URN: urn:nbn:se:uu:diva-186267DOI: 10.4171/JEMS/593ISI: 000370249100005OAI: oai:DiVA.org:uu-186267DiVA, id: diva2:572812
#####

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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt455",{id:"formSmash:j_idt455",widgetVar:"widget_formSmash_j_idt455",multiple:true}); Available from: 2013-02-12 Created: 2012-11-28 Last updated: 2017-12-07Bibliographically approved
##### In thesis

We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic p-Laplace equation. Assuming that such solutions continuously vanish on some distinguished part of the lateral part S-T of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences under additional assumptions on the equation or the domain. We then prove analogous estimates for non-negative solutions to a class of degenerate/singular parabolic equations of porous medium type.

1. Boundary Behavior of *p*-Laplace Type Equations$(function(){PrimeFaces.cw("OverlayPanel","overlay615186",{id:"formSmash:j_idt733:0:j_idt737",widgetVar:"overlay615186",target:"formSmash:j_idt733:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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