# Graduate Student Seminar- Holder's regularity for solutions of a parabolic equation

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