Geodesic
Solution to the triharmonic heat equation
Electronic journal of differential equations, Tome 2011 (2011)
In this article, we study the equation

$ \frac{\partial}{\partial t}\,u(x,t)-c^2\circledast u(x,t)=0 $

with initial condition

$ \circledast=\Big(\sum^p_{i=1}\frac{\partial^2}{\partial x^2_i}\Big)^3 +\Big(\sum^{p+q}_{j=p+1}\frac{\partial^2}{\partial x^2_j}\Big)^3 $

with

$ \frac{\partial}{\partial t} u(x,t)-c^2\Delta^3 u(x,t)=0\,. $

Classification : 46F10, 46F12
Keywords: Fourier transform, tempered distribution, diamond operator 
@article{EJDE_2011__2011__a31,
     author = {Satsanit,  Wancha},
     title = {Solution to the triharmonic heat equation},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1223.46042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a31/}
}
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%J Electronic journal of differential equations
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Satsanit,  Wancha. Solution to the triharmonic heat equation. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a31/