Title

Comparison Theorems in Elliptic Partial Differential Equations with Neumann Boundary Conditions

Author

Jeffrey Langford, Washington University in St. LouisFollow

Author's School

Graduate School of Arts & Sciences

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.

Comments

Permanent URL: http://dx.doi.org/10.7936/K7R20ZGM

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