Uniform Blow‐Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources
Zhoujin Cui, Zuodong Yang · International Journal of Differential Equations · 2007
This paper investigates the local existence of the nonnegative solution and the finite time blow‐up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow‐up is uniform in all compact subsets of the domain, the blow‐up rate of |u(t)|∞ is precisely determined.