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Dirichlet sub-Laplacians on homogeneous Carnot groups: spectral properties, asymptotics, and heat content by Carfagnini, Marco; Gordina, Maria is a scholarly article available to read on EtoBox.

What is Dirichlet sub-Laplacians on homogeneous Carnot groups: spectral properties, asymptotics, and heat content about?

We consider sub-Laplacians in open bounded sets in a homogeneous Carnot group and study their spectral properties. We prove that these operators have a pure point spectrum, and prove the existence of the spectral gap. In addition, we give applications to the small ball problem for a hypoelliptic Brownian motion and the large time behavior of the heat content in a regular domain.

Author

Carfagnini, Marco; Gordina, Maria

Published

2022

Language

EN