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On inverse problem for a system of equations of elasticity theory
-
Yu.E. Anikonov
and
M. Yamomoto
Published/Copyright:
September 7, 2013
Abstract
- In this paper we consider fundamental possibility of unique determining of solution to a system of the Lame dissipative equations and six coefficients of this system using usual for such cases initial-boundary information, but assuming that initial conditions are zero (what is essential). The non-uniqueness of solution to the inverse problem is not directly connected with absence of regularity of solution to inverse problem. In particular, the non-uniqueness takes a place even if solution and coefficients are analytic but initial values are non-zero.
Published Online: 2013-09-07
Published in Print: 2002-05
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Contents
- On inverse problem for a system of equations of elasticity theory
- Approximation of function with finite number of discontinuities by noised data
- The reconstruction of a vector field by finite difference methods
- New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity
- The linear sampling method in inverse obstacle scattering for impedance boundary conditions
- Recovering a vector field with the aid of controlled noise
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