Harnack Inequality for a class of Degenerate Elliptic Equations in Non-Divergence Form
dc.contributor.advisor | Gutiérrez, Cristian E., 1950- | |
dc.creator | Abedin, Farhan | |
dc.date.accessioned | 2020-10-20T13:33:12Z | |
dc.date.available | 2020-10-20T13:33:12Z | |
dc.date.issued | 2018 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/624 | |
dc.description.abstract | We 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.extent | 70 pages | |
dc.language.iso | eng | |
dc.publisher | Temple University. Libraries | |
dc.relation.ispartof | Theses and Dissertations | |
dc.rights | IN 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.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Mathematics | |
dc.title | Harnack Inequality for a class of Degenerate Elliptic Equations in Non-Divergence Form | |
dc.type | Text | |
dc.type.genre | Thesis/Dissertation | |
dc.contributor.committeemember | Berhanu, Shiferaw | |
dc.contributor.committeemember | Yang, Wei-shih, 1954- | |
dc.contributor.committeemember | Futer, David | |
dc.contributor.committeemember | Hynd, Ryan | |
dc.description.department | Mathematics | |
dc.relation.doi | http://dx.doi.org/10.34944/dspace/606 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.description.degree | Ph.D. | |
refterms.dateFOA | 2020-10-20T13:33:12Z |