Date of Completion
7-25-2014
Embargo Period
7-25-2014
Keywords
Fractional Laplacian, s-Harmonic Extension, Traveling fronts, Existence
Major Advisor
Changfeng Gui
Associate Advisor
Yung-Sze Choi
Associate Advisor
Joseph McKenna
Field of Study
Mathematics
Degree
Doctor of Philosophy
Open Access
Open Access
Abstract
We consider the traveling fronts of the reaction diffusion equations with fractional Laplacian. We show the nonexistence of the traveling fronts in the combustion model with fractional Laplacian in the supercritical case. Our method can be used to give a direct and simple proof of the nonexistence of traveling fronts for the Fisher-KPP nonlinearity. Also we prove the existence and nonexistence of traveling fronts for different ranges of the fractional power in the generalized Fisher-KPP type model.
Recommended Citation
Huan, Tingting, "Traveling Fronts to Reaction Diffusion Equations with Fractional Laplacians" (2014). Doctoral Dissertations. 462.
https://digitalcommons.lib.uconn.edu/dissertations/462