Some applications of the parabolic maximum principles to nonlinear parabolic differential equations

Author

Peter L. Shoger

Date of Award

6-1983

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Philip W. Schaefer

Committee Members

Vasilios Alexiades, Samuel Jordan

Abstract

In this paper, we develop some estimates for the time derivative and the gradient of the solution of a nonlinear parabolic differential equation with various boundary conditions assigned to it. The method employed involves the derivation of a parabolic differential equation (or inequality) for a functional defined on the solution of the initial-boundary value problem, and then applying the parabolic maximum principles to obtain a bound for the functional.

Recommended Citation

Shoger, Peter L., "Some applications of the parabolic maximum principles to nonlinear parabolic differential equations. " Master's Thesis, University of Tennessee, 1983.
https://trace.tennessee.edu/utk_gradthes/14906