Fractional heat equation

From Mwiki

Revision as of 21:38, 8 June 2011 by Nestor (Talk | contribs)
Jump to: navigation, search

The fractional heat equation refers to the parabolic equation \[ u_t + (-\Delta)^s u = 0,\] where $(-\Delta)^s$ stands for the fractional Laplacian.

In principle one could study the equation for any value of $s$. The values in the range $s \in (0,1]$ are particularly interesting because in that range the equation has a maximum principle.

Personal tools