Special Session 96: Evolutionary Equations Systems

Parabolic logistic equation with harvesting involving the fractional Laplacian
Maya Chhetri
The University of North Carolina at Greensboro
USA
Co-Author(s):    P. Girg, E. Hollifield and L. Kotrla
Abstract:
This talk will focus on a class of parabolic problems governed by the fractional Laplacian, subject to zero Dirichlet conditions on the exterior of a bounded domain. We will discuss the existence and uniqueness of solutions for these problems. Additionally, we apply our results to logistic growth models with constant yield harvesting by constructing an ordered pair of sub- and supersolutions for the associated elliptic equation.