On the Cauchy Problem for the Lamé System
Alexander A. Shlapunov · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1996
Abstract Solvability conditions and Carleman formula for the Cauchy problem for Lamé type systems in ℝn n ≧ 2, are obtained. In particular, for given displacement and strain on an open connected part of the boundary of the domain of a special type, the formula for the reconstruction of solutions of the Lamé system in the domain is derived.