A Cauchy problem for the system of elasticity equations. (English. Russian original) Zbl 1034.35140
Differ. Equ. 36, No. 5, 749-754 (2000); translation from Differ. Uravn. 36, No. 5, 674-678 (2000).
The authors investigate the Cauchy problem for the classical system of differential equations of isotropic elasticity theory. The considered problem belongs to ill-posed problems. The authors provide an explicit continuation formula for the solution by using the Carleman matrix.
Reviewer: Giuseppe Saccomandi (Lecce)
MSC:
| 35Q72 | Other PDE from mechanics (MSC2000) |
| 74B05 | Classical linear elasticity |
| 35R25 | Ill-posed problems for PDEs |
| 35J45 | Systems of elliptic equations, general (MSC2000) |
References:
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