I'm looking for references (or direct solutions :) ) of how to solve the following partial differential equation : $\partial_t f =-\Delta^2 f$ , with $\Delta f$ the Laplacian of $f$.
I'm interested in the one dimensional (1d) problem, and the 2d and 3d, and in any way to solve it, including Laplace and Fourier transform. Also, I'm interested in different geometries (1d, cartesian, radial, spherical...). But I'll be glad of anything you could help me with (even the name of that equation if it has one) !