Wanchak Satsanit
Abstract:
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 email: aunphue@live.com |
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