Study of Solution of Energy for a Nonlocal Semilinear Parabolic Modelling

摘要

In this paper, author studies of solution the energy for a nonlocal semilinear parabolic modeling. This modeling of equation that describes some phenomena of biological sciences is given. The author solves some problems involved in the model. First, the definition of energy is introduced. Secondly, the nonlocal parabolic equation with positive initial energy is considered. Finally, the existence and blow-up of initial energy of solution are given.