I. Sigua and Z. Tediashvili
abstract:
The system of differential equations of steady state oscillations of anisotropic
elasticity are considered. By the generalized Fourier transform technique and
with the help of the limiting absorbtion principle, we construct maximally
decaying at infinity matrices of fundamental solutions explicitly. Their
expressions contain surface integral over a certain semi-sphere and a line
integral along the edge boundary of the semi-sphere. We investigate near field
and far field properties of the fundamental matrices and show that they satisfy
the generalized Sommerfeld-Kupradze type radiation conditions at infinity.
Mathematics Subject Classification: 35J15, 74B05, 74J05
Key words and phrases: Elliptic systems, fundamental solution, steady state oscillations