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Washington University in St. Louis
Comparison Theorems in Elliptic Partial Differential Equations with Neumann Boundary Conditions
Abstract
dc:description.abstract<p>In this thesis, we study how the solution of a PDE changes when the data are rearranged. Specifically, we prove comparison theorems on spherical shells, spheres, and hemispheres, showing that under rearrangement of the data, the solution's convex mean increases. We also obtain similar weighted comparison results in balls.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2012
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Langford, Jeffrey
- Contributors dc:contributor
-
- Albert Baernstein II
Subjects
dc:subject × 6Rights
- Language dc:language
- English (en)
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:openscholarship.wustl.edu:etd-1705