"Large time behaviour of heat propagator" by Muna Naik, Swagato K. Ray et al.
 

Large time behaviour of heat propagator

Article Type

Research Article

Publication Title

Bulletin des Sciences Mathematiques

Abstract

Let S be a Damek–Ricci space and Δ be the Laplace–Beltrami operator of S. We explore the behaviour of heat propagator in S in large time to illustrate the differences with the corresponding results in Rn. In particular we study the relation between the limiting behaviour of the ball-averages as radius tends to ∞ and that of the heat propagator as time goes to ∞ and use this relation for characterization of eigenfunctions of Δ.

DOI

10.1016/j.bulsci.2021.102955

Publication Date

3-1-2021

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