Corrigendum to “Multiplicative AF kinematic hardening in plasticity” [International Journal of Solids and Structures 45 (2008) 2861–2880]
- 作者：Yannis F. Dafalias ; Kyriakos I. Kourousis ; George J. Saridis
- 关键词：Lipschitz stability ; Hyperbolic inverse problem ; Dirichlet-to-Neumann map
- 刊名：International Journal of Solids and Structures
- 出版年：2008
- 期刊代码：93_00207683
- 类别：et
- 出版时间：15 August 2008
- 卷：45
- 期：17
- 页码：4878
- 文件大小：122 K
摘要
In this paper we consider the stability of the inverse problem of determining a function e="mml1">e="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4RSJF2J-4&_mathId=mml1&_user=1067359&_cdi=6894&_rdoc=40&_acct=C000050221&_version=1&_userid=10&md5=4d88637a9e5d07222e9cc0385d2091b6" title="Click to view the MathML source" alt="Click to view the MathML source">q(x) in a wave equation e="mml2">ef="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4RSJF2J-4&_mathId=mml2&_user=1067359&_cdi=6894&_rdoc=40&_acct=C000050221&_version=1&_userid=10&md5=a923a613097916e430fb53f6c07c501c">
encedirect.com/cache/MiamiImageURL/B6WK2-4RSJF2J-4-3/0?wchp=dGLbVzW-zSkzk" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=19 width="151"/> in a bounded smooth domain in e="mml3">ef="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4RSJF2J-4&_mathId=mml3&_user=1067359&_cdi=6894&_rdoc=40&_acct=C000050221&_version=1&_userid=10&md5=2b45fe133d7e1d33f27a724e53e421e8">encedirect.com/cache/MiamiImageURL/B6WK2-4RSJF2J-4-4/0?wchp=dGLbVzW-zSkzk" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=12 width="20"/> from boundary observations. This information is enclosed in the hyperbolic (dynamic) Dirichlet-to-Neumann map associated to the solutions to the wave equation. We prove in the case of e="mml4">e="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4RSJF2J-4&_mathId=mml4&_user=1067359&_cdi=6894&_rdoc=40&_acct=C000050221&_version=1&_userid=10&md5=4c93d11f24b07197582e14695f79526b" title="Click to view the MathML source" alt="Click to view the MathML source">nencedirect.com/scidirimg/entities/2a7e.gif" alt="greater-or-equal, slanted" title="greater-or-equal, slanted" border="0">2 that e="mml5">e="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4RSJF2J-4&_mathId=mml5&_user=1067359&_cdi=6894&_rdoc=40&_acct=C000050221&_version=1&_userid=10&md5=dddc83741e1e94b10746ebc4888ddba0" title="Click to view the MathML source" alt="Click to view the MathML source">q(x) is uniquely determined by the range restricted to a subboundary of the Dirichlet-to-Neumann map whose stability is a type of double logarithm.