Error estimates for approximations of certain fully nonlinear equations /

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Bibliographic Details
Author / Creator:	Turanova, Olga, author.
Imprint:	2015. Ann Arbor : ProQuest Dissertations & Theses, 2015
Description:	1 electronic resource (148 pages)
Language:	English
Format:	E-Resource Dissertations
Local Note:	School code: 0330
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/10773092

Hidden Bibliographic Details
Other authors / contributors:	University of Chicago. degree granting institution.
ISBN:	9781321884210
Notes:	Advisors: Panagiotis Souganidis Committee members: Luis Silvestre. This item must not be sold to any third party vendors. This item must not be added to any third party search indexes. Dissertation Abstracts International, Volume: 76-11(E), Section: B. English
Summary:	This thesis concerns fully nonlinear parabolic and elliptic equations. We introduce the notion of delta-viscosity solutions for such PDEs. We prove that delta-viscosity solutions are uniformly close to the actual viscosity solution, with an explicit error. As a consequence we obtain an error estimate for certain monotone finite difference approximations.

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