The Laplace Operator on a Plane

Authors

Presenter(s)

Meredith Ann McFarland

Files

Description

The goal of this presentation is to show some properties of functions, defined on open domains of the Euclidean plane, that are solutions to particular partial differential equations which involve the Laplace operator. One important example is harmonic functions, which are solutions of the Laplace equation. The behavior of these functions, on bounded domains, encompass some interesting properties that are instrumental in several applications in physics and engineering.

Publication Date

4-22-2021

Project Designation

Capstone Project

Primary Advisor

Andres Larrain-Hubach

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project, College of Arts and Sciences

Recommended Citation

"The Laplace Operator on a Plane" (2021). Stander Symposium Projects. 2218.
https://ecommons.udayton.edu/stander_posters/2218