Title: Seismological Problem, Seismic Waves and the Seismic Mainshock
Abstract:The elastic wave equation with the seismic tensorial force is 
 solved in a homogeneous and isotropic medium (the Earth). 
 Spherical-shell waves are obtained, which are associated to the &#...The elastic wave equation with the seismic tensorial force is 
 solved in a homogeneous and isotropic medium (the Earth). 
 Spherical-shell waves are obtained, which are associated to the 
 primary P and S seismic waves. It is shown that these waves 
 produce secondary waves with sources on the plane surface of a 
 half-space, which have the form of abrupt walls with a long tail, 
 propagating in the interior and on the surface of the half-space. 
 These secondary waves are associated to the seismic mainshock. 
 The results, previously reported, are re-derived by using Fourier 
 transformations and specific regularization procedures. The 
 relevance of this seismic motion for the ground motion, the 
 seismographs' recordings and the effect of the inhomogeneities in 
 the medium are discussed.Read More