Special Session 52: Harmonic Analysis and Partial Differential Equations

Space-like Strong Unique Continuation for Some Fractional Parabolic Equations

Donatella Danielli
Arizona State University
USA
Co-Author(s):    Vedansh Arya, Agnid Banerjee, Nicola Garofalo
Abstract:
In this talk we will present the space-like strong unique continuation property for a class of nonlocal equations, where the leading operator is the fractional heat. The proof of our main result is achieved via a conditional elliptic type doubling property for solutions to the appropriate extension problem, followed by a blowup analysis.