Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions.

In this work, we are interested in a boundary value problem (BVP) generated by a Klein-Gordon equation (KG) with Jump conditions and a boundary condition. First, we introduce scattering solutions and Jost solution of the problem. Then, we give the scattering function and we prove some properties of it. Lastly, we conclude the paper by a special example. [ABSTRACT FROM AUTHOR]