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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 11
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Original Articles

Recovering a Lamé kernel in a viscoelastic system

Alfredo Lorenzi Department of Mathematics, “F. Enriques” of the Universitá degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
,
Francesca Messina Department of Mathematics, “F. Enriques” of the Universitá degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
&
Vladimir G. Romanov Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4, Novosibirsk 630090, RussiaCorrespondence[email protected]
Pages 1375-1395 | Received 20 Jul 2007, Accepted 07 Sep 2007, Published online: 23 Nov 2007

Citations (22)

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V.G. Romanov & M. Yamamoto. (2010) Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement. Applicable Analysis 89:3, pages 377-390.
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Articles from other publishers (21)

Durdimurod Kalandarovich Durdiev, Jonibek Jamolovich Jumayev & Dilshod Dilmurodovich Atoev. (2023) Inverse problem on determining two kernels in integro-differential equation of heat flow. Ufa Mathematical Journal Ufimskii Matematicheskii Zhurnal 15:2, pages 119-134.
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Zh. D. Totieva. (2022) Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium. Theoretical and Mathematical Physics 213:2, pages 1477-1494.
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Durdimurod K. Durdiev & Zhonibek Zh. Zhumaev. (2020) Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor. Mathematical Methods in the Applied Sciences 45:14, pages 8374-8388.
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Zh. D. Totieva. (2020) Determining the Kernel of the Viscoelasticity Equation in a Medium with Slightly Horizontal Homogeneity. Siberian Mathematical Journal 61:2, pages 359-378.
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Oleg Yu. Imanuvilov & Masahiro Yamamoto. (2020) Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem. SIAM Journal on Mathematical Analysis 52:1, pages 718-791.
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O Yu Imanuvilov & M Yamamoto. (2019) Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity. Inverse Problems 35:12, pages 125001.
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Paola Loreti, Daniela Sforza & Masahiro Yamamoto. (2017) Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case. Inverse Problems 33:12, pages 125014.
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D. K. Durdiev & Zh. Sh. Safarov. (2015) Inverse problem of determining the one-dimensional kernel of the viscoelasticity equation in a bounded domain. Mathematical Notes 97:5-6, pages 867-877.
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Durdimurod Kalandarovich Durdiev & Jurabek Shakarovich Safarov. (2015) Обратная задача об определении одномерного ядра уравнения вязкоупругости в ограниченной областиInverse Problem of Determining the One-Dimensional Kernel of the Viscoelasticity Equation in a Bounded Domain. Математические заметки Matematicheskie Zametki 97:6, pages 855-867.
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V. G. Romanov. (2014) On the determination of the coefficients in the viscoelasticity equations. Siberian Mathematical Journal 55:3, pages 503-510.
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V. G. Romanov. (2013) A two-dimensional inverse problem for an integro-differential equation of electrodynamics. Proceedings of the Steklov Institute of Mathematics 280:S1, pages 151-157.
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V. G. Romanov. (2012) A two-dimensional inverse problem for the viscoelasticity equation. Siberian Mathematical Journal 53:6, pages 1128-1138.
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V. G. Romanov. (2012) Problem of kernel recovering for the viscoelasticity equation. Doklady Mathematics 86:2, pages 608-610.
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V. G. Romanov. (2012) Stability estimates for the solution to the problem of determining the kernel of a viscoelastic equation. Journal of Applied and Industrial Mathematics 6:3, pages 360-370.
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V. G. Romanov. (2012) A three-dimensional inverse problem of viscoelasticity. Doklady Mathematics 84:3, pages 833-836.
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V. G. Romanov. (2011) A two-dimensional inverse problem of viscoelasticity. Doklady Mathematics 84:2, pages 649-652.
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V. G. Romanov. (2011) Stability estimate of a solution to the problem of kernel determination in integrodifferential equations of electrodynamics. Doklady Mathematics 84:1, pages 518-521.
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V. G. Romanov. (2011) A stability estimate for a solution to an inverse problem of electrodynamics. Siberian Mathematical Journal 52:4, pages 682-695.
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Alfredo Lorenzi & Vladimir G. Romanov. (2011) Recovering two Lamé kernels in a viscoelastic system. Inverse Problems & Imaging 5:2, pages 431-464.
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Maya de Buhan & Axel Osses. (2010) Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example. Inverse Problems 26:9, pages 095006.
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Maya de Buhan & Axel Osses. (2009) Un résultat de stabilité pour la récupération d'un paramètre du système de la viscoélasticité 3D. Comptes Rendus. Mathématique 347:23-24, pages 1373-1378.
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