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dc.contributor.advisorGutiérrez, Cristian E., 1950-
dc.creatorAbedin, Farhan
dc.date.accessioned2020-10-20T13:33:12Z
dc.date.available2020-10-20T13:33:12Z
dc.date.issued2018
dc.identifier.urihttp://hdl.handle.net/20.500.12613/624
dc.description.abstractWe provide two proofs of an invariant Harnack inequality in small balls for a class of second order elliptic operators in non-divergence form, structured on Heisenberg vector fields. We assume that the coefficient matrix is uniformly positive definite, continuous, and symplectic. The first proof emulates a method of E. M. Landis, and is based on the so-called growth lemma, which establishes a quantitative decay of oscillation for subsolutions. The second proof consists in establishing a critical density property for non-negative supersolutions, and then invoking the axiomatic approach developed by Di Fazio, Gutiérrez and Lanconelli to obtain Harnack’s inequality.
dc.format.extent70 pages
dc.language.isoeng
dc.publisherTemple University. Libraries
dc.relation.ispartofTheses and Dissertations
dc.rightsIN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMathematics
dc.titleHarnack Inequality for a class of Degenerate Elliptic Equations in Non-Divergence Form
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberBerhanu, Shiferaw
dc.contributor.committeememberYang, Wei-shih, 1954-
dc.contributor.committeememberFuter, David
dc.contributor.committeememberHynd, Ryan
dc.description.departmentMathematics
dc.relation.doihttp://dx.doi.org/10.34944/dspace/606
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreePh.D.
refterms.dateFOA2020-10-20T13:33:12Z


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