Graduate Student Seminar- Holder's regularity for solutions of a parabolic equation
Fri, 3 November, 2017
7:00pm
Title: Holder's regularity for solutions of a parabolic equation
Speaker: Xinyu Zhang
Date and Time: Friday, November 3, 3:00-4:00pm
Place: Rome 206
Abstract: De Giorgi introduced his method in 1957 to study the regularity of elliptic equations with rough coefficients. In this talk, we will consider, for simplicity, the laplacian-type equation and prove the solutions are Holder. I will firstly introduce the oscillation lemma, then show the lemma implies the Holder's continuity. Then I will fill the gaps between the oscillation lemma and De Giorgi's lemmas