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Volume 8, Issue 2
Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ

Jiamao Zheng, Yuanming Wang & Yu Wei

J. Part. Diff. Eq., 8 (1995), pp. 115-125.

Published online: 1995-08

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  • 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.
  • Keywords

Inverse problem elastic wave Lame's parameter dissipative factor largest existence interval well-posed property

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COPYRIGHT: © Global Science Press

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@Article{JPDE-8-115, author = {Zheng , JiamaoWang , Yuanming and Wei , Yu}, title = {Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5645.html} }
TY - JOUR T1 - Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ AU - Zheng , Jiamao AU - Wang , Yuanming AU - Wei , Yu JO - Journal of Partial Differential Equations VL - 2 SP - 115 EP - 125 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5645.html KW - Inverse problem KW - elastic wave KW - Lame's parameter KW - dissipative factor KW - largest existence interval KW - well-posed property AB - 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.
Zheng , JiamaoWang , Yuanming and Wei , Yu. (1995). Well-posed Property of the Inverse Problem for the Lame's Parameters λ,μ and Dissipative Factor γ. Journal of Partial Differential Equations. 8 (2). 115-125. doi:
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