Blow-up analysis for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary condition.
Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions
This paper deals with the blow-up properties of positive solutions to a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions. Under certain conditions, criteria of global existence and finite time blow-up are established. Furthermore, when q=1, the global blow-up behavior and the uniform blow-up profile of the blow-up solution are described; we find that the blow-up set is the whole domain [0,a], including the boundary, in contrast to the case of parabolic equations...
Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions.
Bounded solutions of nonlinear parabolic equations.