Analysis of nonlocal equations: One-sided weighted fractional Sobolev spaces and Harnack inequality for fractional nondivergence form elliptic equations

Abstract

La Crosse, thank you for showing me the beauty of mathematics, for encouraging me to pursue graduate school, and for your continued friendship. My final acknowledgements are for my family. Thank you to my parents for exposing me to science and mathematics at a young age, for teaching me to pursue my dreams, and for the endless support. Thank you to my husband, Jordan, who has shown incredible belief and encouragement throughout this process. vi