Meredith Ann McFarland
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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.
Primary Advisor's Department
Stander Symposium project, College of Arts and Sciences
"The Laplace Operator on a Plane" (2021). Stander Symposium Projects. 2218.