Calculus of Variations and Geometric Measure Theory

F. Dragoni

Limiting behavior of solutions of subelliptic heat equations

created by dragoni on 16 Nov 2007
modified on 18 Sep 2008


Published Paper

Inserted: 16 nov 2007
Last Updated: 18 sep 2008

Journal: NoDea
Volume: 14
Number: 3-4
Pages: 429-443
Year: 2008


We investigate the behavior, as $\varepsilon \to 0^+$, of $\varepsilon \log w^{\varepsilon}(t,x)$ where $w^{\varepsilon}$ are solutions of a suitable family of subelliptic heat equations. Using the Large Deviation Principle, we show that the limiting behavior is described by the metric inf-convolution w.r.t. the associated Carnot-Carathéodory distance.