Assume there is a hollow cylinder with no concentration gradient over r, and then, the concentration gradient is along the z axis and the cylinder angle as

$$ \frac{\partial c}{\partial t} = D \Biggl(\frac{1}{r^2}\frac{\partial^2 c}{\partial \phi^2}\ + \frac{\partial^2 c} {\partial z^2}\Biggl)$$

How should the Laplace transform be applied to solve this differential equation?