PROPERTIES OF ELASTIC SYMBOLS AND CONSTRUCTION OF SOLUTIONS OF THE DIRICHLET PROBLEM

  • Published : 2001.07.01

Abstract

We examine plane waves of the elastic reduced wave equation in the half-space, and show that linear combinations of them can cover all plane waves on the boundary. The proof is based on the complex analysis for the symbol in the (dual) variable in the normal direction to the boundary.

Keywords

References

  1. Func. Anal. Appl. v.17 Self-adjoint quadratic operator pencils and elliptic problems A. G. Kostyuchenko;A. A.Shkalikov
  2. Asymptotic solutions of the elastic wave equation in the case of total reflection H. Soga