English

Asymptotic behaviour of the Bessel heat kernels

Analysis of PDEs 2017-09-19 v1

Abstract

We consider Dirichlet heat kernel pa(μ)(t,x,y)p_a^{(\mu)}(t,x,y) for the Bessel differential operator L(μ)=d2dx2+2μ+12xL^{(\mu)}=\frac{d^2}{dx^2}+\frac{2\mu+1}{2x}, μR\mu\in\mathbb{R}, in half-line (a,)(a,\infty), a>0a>0, and provide its asymptotic expansions for xy/txy/t\rightarrow\infty.

Keywords

Cite

@article{arxiv.1709.05796,
  title  = {Asymptotic behaviour of the Bessel heat kernels},
  author = {Kamil Bogus},
  journal= {arXiv preprint arXiv:1709.05796},
  year   = {2017}
}

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19 pages