Recent content by bob321

The problem is over the entire real line so there are no boundary conditions, and the initial condition [tex]u(x,0)[\tex] can be an arbitrary [tex]C^2[\tex] function. I've actually since worked out the general solution using the Fourier transform, as I started to do in my original post. Thanks.

Hi folks, Given the following heat equation u_t = u_{xx} + t - x^2, I'd like to find all solutions u(x,t)\in C^2(\mathbb{R}^2) such that the quotient |u(x,t)| / (|x|^5 + |t|^5) goes to zero as the sum |x| + |t| goes to infinity. I know how to do the same problem with the usual...