De Giorgi's Theorem
The key theorem proved by De Giorgi is an a priori estimate stating that if u is a solution of a suitable linear second order strictly elliptic PDE of the form
and u has square integrable first derivatives, then u is Hölder continuous.
Read more about this topic: Hilbert's Nineteenth Problem
Famous quotes containing the word theorem:
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)