Uniform blow-up rate for diffusion equations with nonlocal nonlinear source Original Research Article

In this paper, we investigate the blow-up rate of solutions of diffusion equations with nonlocal nonlinear reaction terms. For large classes of equations, we prove that the solutions have global blow-up and that the rate of blow-up is uniform in all compact subsets of the domain. In each case, the blow-up rate of |u(t)|∞|u(t)|∞ is precisely determined.