... equations. It is shown that combining the desired solution as state A with a virtual wave as state B provides explicit results for state A . Basic elastodynamic states are discussed in Sec. 7 . These states play an important role in the formulation of integral representations and integral equations...

... by integral equation methods, eg, boundary element methods, but here we are particularly concerned with more analytically oriented hypersingular integral equation methods. In these methods, which are only applicable to very simple crack shapes, the unknown crack opening displacement in the integral equation...

.... seismology seismic waves integral equations Fourier transforms mathematical operators inverse problems 9R54. Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion. Interdisciplinary Applied Mathematics, Vol 13. - N Bleistein (Center for Wave Phenomena...