Asymptotic behaviour of the Bessel heat kernels

2017/09/18 by Bogus, Kamil
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.05796

Abstract

We consider Dirichlet heat kernel p_a^(μ)(t,x,y) for the Bessel differential operator L^(μ)=(d²)/(dx²)+(2μ+1)/(2x), μ∈ℝ, in half-line (a,∞), a>0, and provide its asymptotic expansions for xy/t→∞.

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