Singularity analysis for a semilinear integro-differential equation with nonlinear memory boundary
Yulan Wang, Jiqin Chen, Chengyuan He · Journal of Inequalities and Applications · 2014
In this paper, we study the blow-up singularity of a semilinear parabolic equation with nonlinear memory both in the reaction term and the boundary condition.We firstly establish the local solvability for a large class of semilinear parabolic equations with various nonlocal reaction terms.Secondly, we give a complete classification for the existence of a blow-up solution and a global solution.Next, we show that under some hypotheses the blow-up can only occur on the boundary of the domain.