Abstract

In physics, the singular heat equation with the Bessel operator is used to explain the basic process of heat transport in a substance with spherical or cylinder symmetry. This paper examines the solution of the Cauchy problem for the heat equation with the Bessel operator acting in the space variable. We obtain some properties of the solution and consider the normalized modified Bessel function of the first kind.

中文翻译：

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关于奇异热方程

摘要

在物理学中，带有贝塞尔算子的奇异热方程用于解释具有球对称或柱对称的物质中热传输的基本过程。本文研究了热方程柯西问题的解，贝塞尔算子作用于空间变量。我们获得了解的一些性质并考虑第一类归一化修正贝塞尔函数。