The Heat Equation on Graphs
2009-03-25 14:30 2009-03-25 15:30 2009-03-25 14:30 .. 15:30
by Radoslaw Wojciechowski (GFM-UL)
We introduce the discrete Laplacian on infinite, locally finite, graphs and study the associated heat equation. In particular, we show how the issue of the uniqueness of bounded solutions for the heat equation can be addressed by the study of some specific difference equations.