In this article, we study the equation
with initial condition . Where x is in the Euclidean space ,
with , is an unknown function, , is a generalized function, and c is a positive constant. Under suitable conditions on f and u, we obtain a unique solution. Note that for , we have the triharmonic heat equation
Submitted June 14, 2010. Published January 7, 2011.
Math Subject Classifications: 46F10, 46F12.
Key Words: Fourier transform; tempered distribution; diamond operator.
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| Wanchak Satsanit |
Department of Mathematics, Faculty of Science
Maejo University, Chiangmai, 50290, Thailand
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