Event Type:

Analysis Seminar

Date/Time:

Wednesday, May 18, 2011 - 09:00

Location:

Kidd 358

Local Speaker:

Abstract:

Caffarelli and Silvestre show that for 0 < s <1, the s-th power of the positive Laplacian in R^{n} can be represented as the normal derivative of the extension to the half space in R^{n+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.