HÖLDER ESTIMATES FOR THE ELASTIC FAR-FIELD PATTERN WITH RESPECT TO THE BOUNDARY
Dorina Mitrea, Marius Mitrea · Mathematical Models and Methods in Applied Sciences · 1999
We prove that under a small perturbation (in the Euclidean metric) of the boundary of a Lipschitz domain there corresponds a small variation (in the uniform norm) of the elastic far-field pattern. The corresponding estimate is of Hölder type. This is done under the assumptions that the Lipschitz character of the perturbation is bounded and that the frequency of the elastic waves is either sufficiently small or has a strictly positive imaginary part.