Displacement and stress Green's functions for a constant slip-rate on a quadrantal fault

I present, in a rigorous form, the Green's functions that represent the dynamic displacement response of an infinite, homogeneous and isotropic medium to a constant slip rate on a quadrantal fault that continues perpetually after the slip onset. I also present analytical expressions for the corresponding stress Green's functions that are a major simplification over previously known solutions. The equations derived can be utilized in the formulation of boundary element methods that discretize a fault plane into a set of small rectangular elements and assume the slip rate to be piecewise constant within each discrete element.