Event Detail

Event Type: 
Analysis Seminar
Wednesday, May 18, 2011 - 09:00
Kidd 358

Speaker Info

Local Speaker: 

Caffarelli and Silvestre show that for 0 < s <1, the s-th power of the positive Laplacian in Rn can be represented as the normal derivative of the extension to the half space in Rn+1 by solution of an elliptic boundary value problem. The case s=1/2 is well-known where the elliptic problem is simply Laplace's equation. For other s, the elliptic equation is degenerate.