On the Operator ⨠Related to Bessel Heat Equation

Wanchak Satsanit

Mathematical Problems in Engineering, 2010, vol. 2010, 1-12

Abstract:

We study the equation with the initial condition for The operator is the operator iterated k-times and is defined by , where is the dimension of the , , , , , and is a nonnegative integer, is an unknown function for , is a given generalized function, and is a positive constant. We obtain the solution of such equation, which is related to the spectrum and the kernel, which is so called Bessel heat kernel. Moreover, such Bessel heat kernel has interesting properties and also related to the kernel of an extension of the heat equation.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:497676

DOI: 10.1155/2010/497676

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