Total Variation Flow in R^n Dimensions with Examples Relating to Perimeters of Level Sets

Authors

Luis Schneegans, University of Missouri-St. LouisFollow
Victoria Shumakovich, University of Maryland at College Park

Faculty Sponsor

Marianne Korten

Final Abstract for URS Program

In this project, we explore radial solutions to the Total Variation Flow (TVF) equation with the help of the Sign Fast Diffusion Equation (SFDE) and prior results in the 1-dimensional case. Specifically for radial solutions, we derive equations and explicit solutions relating to the n-dimensional case. Lastly, we look at how level sets and (time) profiles change.

Presentation Type

Oral Presentation

Document Type

Article