Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ

Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ

Year:    1995

Author:    Jiamao Zheng, Yuanming Wang, Yu Wei

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 2 : pp. 115–125

Abstract

In this paper, the inversion of coefficients Lame's parameters λ, μ and dissipative factor ϒ in one order dissipative elastic wave equation in the vector form is discussed. Under some smoothness conditions, we have proved the existence, uniqueness and extension theorems of the local solution to the inverse problem by means of an equivalent integral system. Stability, well-posed property of the solution and the property of the solution at the end point of the largest existence interval are also researched.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JPDE-5645

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 2 : pp. 115–125

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Inverse problem

Author Details

Jiamao Zheng

Yuanming Wang

Yu Wei