Mathematics

In this series of talks, we are aimed at constructing the solution formula of the Green's functions for various hyperbolic and hyperbolic-parabolic partial differential equations in a half multi-D space domain. We will use the transform variables to derive a master relationships of the Dirichlet-Neumann data of the PDE, and use it to obtain the full Dirichlet-Neumann data in the transform variables; and obtain the Rayleigh surface. With those basic components, we will demonstrate the construction of the Green's function for the wave equation in half space with various different boundary conditions such as the Robin boundary conditions and absorbing/radiative boundary condition.