This article is cited in 4 papers

Cauchy Problem for Elliptic Systems in the Space $\mathbb R^m$

O. I. Makhmudov

A. Navoi Samarkand State University

Abstract: In this paper, we investigate the analytic continuation of the solution of the system of Lamé equations in a bounded space domain from the values of the solution and the stress values on part of the boundary of this domain, i.e., a Cauchy problem is studied. We construct an approximate solution of this problem based on the Carleman matrix method. system of elliptic differential equations

UDC: 517.946

Received: 21.05.2002

DOI: 10.4213/mzm76

 English version: Mathematical Notes, 2004, 75:6, 794–804

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