On the spatial decay of solutions for a class of diffusion-reaction equations Original Research Article

In this paper, we investigate the spatial decay of some diffusion-reaction equations. In the stationary case we obtain results of exponential decay. In the transient case, we find a decay which is as fast as the exponential of a quadratic polynomial. The main tool of the paper is the maximum principle together with the usual methods of decay estimates for linear problems. We also obtain an estimate for the amplitude term by means of the boundary conditions.