Global boundedness and blow-up for a parabolic system with positive Dirichlet boundary value
This paper deals with a parabolic system coupled via nonlocal sources, subjecting to positive Dirichlet boundary value conditions. By using the super-, sub-solution methods and techniques, and piecewise functions, the blow-up criteria and global boundedness of nonnegative solutions are determined. The results show the positive boundary value ? 0 plays an important role in the case of blow-up.
global boundedness blow-up nonlocal parabolic system 35k51 35k61 35q79