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math.AP2016★ 1 cited
Dirichlet heat kernel for the Laplacian in a ball
Jacek Malecki, Grzegorz Serafin
We provide sharp two-sided estimates on the Dirichlet heat kernel for the Laplacian in a ball. The result accurately describes the exponential behaviour of the kernel…
math.AP2015★ 2 cited
Heat kernel estimates for the Bessel differential operator in half-line
Kamil Bogus, Jacek Malecki
In the paper we consider the Bessel differential operator L^(μ)=\dfrac{d^2}{dx^2}+\dfrac{2μ+1}{x}\dfrac{d}{dx} in half-line (a,\infty), a>0, and its Dirichlet heat kernel p_a^(μ)(t…