Some results in discontinuous fields and wave propogation
We present various applications of recently developed techniques which are an interplay between the differential geometry and the theory of distributions. We apply them to the microlocal theory, derive the general order transport equations for the strength of wave fronts, obtain the values of the jumps of the general Nth-order derivatives of the harmonic functions across the potential layers, and present the explicit formulas for an arbitrary order derivative of functions of the radial distance r. © 1987.
Publication Source (Journal or Book title)
Journal of Mathematical Analysis and Applications
Estrada, R., & Kanwal, R. (1987). Some results in discontinuous fields and wave propogation. Journal of Mathematical Analysis and Applications, 128 (2), 389-404. https://doi.org/10.1016/0022-247X(87)90191-0