IJPAM: Volume 64, No. 1 (2010)
ON THE OPERATOR
RELATED TO
THE BESSEL HEAT EQUATION

THE BESSEL HEAT EQUATION
Somboon Niyom
, Amnuay Kananthai
Department of Mathematics
Faculty of Science
Chiang Mai University
Chiang Mai, 50200, THAILAND
e-mail: [email protected]
e-mail: [email protected]



Faculty of Science
Chiang Mai University
Chiang Mai, 50200, THAILAND


Abstract.In this paper, we study the equation

with the initial condition



![\begin{displaymath}\circledast^k_B=\left[\left(B_{x_1}+\cdots+B_{x_p}\right)^3+\left(B_{x_{p+1}}+\cdots+B_{x_{p+q}}\right)^3\right]^k,\end{displaymath}](img9.png)











Received: May 12, 2010
AMS Subject Classification: 46F10, 35K05
Key Words and Phrases: heat kernel, Dirac-delta distribution, spectrum, Bessel operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 1