Vivek Tewary: Regularity Theory for Parabolic Fractional p-Laplace Equations

In this talk, we discuss the proof of Holder regularity for parabolic fractional
p-Laplace equations. Since the parabolic p-Laplace equation has different scalings in space and time, we use the method of intrinsic scaling developed by DiBenedetto. The nonlocal setting has a unique challenge since functions in fractional Sobolev spaces can have ’jumps’. The talk is
based on joint work with Karthik Adimurthi and Harsh Prasad.