Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function (Q1566396)

This paper deals with pointwise Green function bounds for a system of linear convection diffusion equations about a traveling front or pulse solution; the basic approach is to exploit in the Laplace transform setting the elementary Fourier-transform analysis of the constant coefficient case. In the reaction-diffusion setting, the linear estimates obtained here refine earlier results obtained by using weighted norm and Bloch-decomposition methods.