The blow-up profile for a nonlocal nonlinear parabolic equation with a nonlocal boundary condition
This paper deals with the blow-up properties of positive solutions to a nonlinear parabolic equation with a nonlocal reaction source and a nonlocal boundary condition. Under certain conditions, the blow-up criteria is established. Furthermore, under two additional conditions, the global blow-up behavior is shown, and when f(u) = u, 0 < p ≤ 1, the blow-up rate estimates are also obtained.