Author's Department/Program
Mathematics
Language
English (en)
Date of Award
5-24-2012
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Chair and Committee
Albert Baernstein II
Abstract
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.
Recommended Citation
Langford, Jeffrey, "Comparison Theorems in Elliptic Partial Differential Equations with Neumann Boundary Conditions" (2012). All Theses and Dissertations (ETDs). 706.
https://openscholarship.wustl.edu/etd/706
COinS
Comments
Permanent URL: http://dx.doi.org/10.7936/K7R20ZGM