Cardoulis, Laure An inverse problem for a parabolic system in an unbounded guide. (English) Zbl 07818645 Rostocker Math. Kolloq. 73, 27-54 (2023). MSC: 35K05 35R30 PDFBibTeX XMLCite \textit{L. Cardoulis}, Rostocker Math. Kolloq. 73, 27--54 (2023; Zbl 07818645) Full Text: Link
Cristofol, Michel; Li, Shumin; Shang, Yunxia Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. II: Some inverse problems. (English) Zbl 07790788 Math. Methods Appl. Sci. 46, No. 12, 13304-13319 (2023). MSC: 35R30 35G46 PDFBibTeX XMLCite \textit{M. Cristofol} et al., Math. Methods Appl. Sci. 46, No. 12, 13304--13319 (2023; Zbl 07790788) Full Text: DOI OA License
Qin, Xue; Li, Shumin Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential. (English) Zbl 1518.35684 Appl. Anal. 102, No. 7, 1995-2017 (2023). MSC: 35R30 35K20 35K67 93B05 49J20 PDFBibTeX XMLCite \textit{X. Qin} and \textit{S. Li}, Appl. Anal. 102, No. 7, 1995--2017 (2023; Zbl 1518.35684) Full Text: DOI
Cardoulis, Laure An inverse problem for a hyperbolic system in a bounded domain. (Un problème inverse pour un système hyperbolique dans un domaine borné.) (English. French summary, Abridged French version) Zbl 1510.35393 C. R., Math., Acad. Sci. Paris 361, 653-665 (2023). MSC: 35R30 35L53 PDFBibTeX XMLCite \textit{L. Cardoulis}, C. R., Math., Acad. Sci. Paris 361, 653--665 (2023; Zbl 1510.35393) Full Text: DOI
Le Rousseau, Jérôme; Zongo, Emmanuel Wend-Benedo Stabilization of the damped plate equation under general boundary conditions. (Stabilisation de l’équation des plaques amorties sous des conditions au bord générales.) (English. French summary) Zbl 1501.35067 J. Éc. Polytech., Math. 10, 1-65 (2023). MSC: 35B40 35J30 35J40 35L35 74K20 93D15 PDFBibTeX XMLCite \textit{J. Le Rousseau} and \textit{E. W. B. Zongo}, J. Éc. Polytech., Math. 10, 1--65 (2023; Zbl 1501.35067) Full Text: DOI arXiv
Li, Shumin; Shang, Yunxia Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. I: Carleman estimates. (English) Zbl 1498.35621 J. Inverse Ill-Posed Probl. 30, No. 5, 621-658 (2022). MSC: 35R30 35B45 35G46 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Shang}, J. Inverse Ill-Posed Probl. 30, No. 5, 621--658 (2022; Zbl 1498.35621) Full Text: DOI arXiv
Bellassoued, Mourad; Moufid, Chaima Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation. (English) Zbl 1479.35940 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2671-2692 (2021). MSC: 35R30 35Q35 76M21 PDFBibTeX XMLCite \textit{M. Bellassoued} and \textit{C. Moufid}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2671--2692 (2021; Zbl 1479.35940) Full Text: DOI
Bellassoued, Mourad; Moufid, Chaima; Yamamoto, Masahiro A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium. (English) Zbl 1448.35501 Appl. Anal. 99, No. 14, 2428-2456 (2020). MSC: 35Q74 35R30 35B35 78A46 74B10 74F15 PDFBibTeX XMLCite \textit{M. Bellassoued} et al., Appl. Anal. 99, No. 14, 2428--2456 (2020; Zbl 1448.35501) Full Text: DOI
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Inverse problems for a compressible fluid system. (English) Zbl 1437.35706 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 101-148 (2020). MSC: 35R30 35Q35 76Nxx PDFBibTeX XMLCite \textit{O. Yu. Imanuvilov} and \textit{M. Yamamoto}, Springer Proc. Math. Stat. 310, 101--148 (2020; Zbl 1437.35706) Full Text: DOI
Le Rousseau, Jérôme; Robbiano, Luc Spectral inequality and resolvent estimate for the bi-Laplace operator. (English) Zbl 1439.35351 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003-1094 (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 35P15 58J50 35B45 35J30 35L35 35S15 93B05 93D15 PDFBibTeX XMLCite \textit{J. Le Rousseau} and \textit{L. Robbiano}, J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003--1094 (2020; Zbl 1439.35351) Full Text: DOI arXiv
Cheng, Jin; Liu, Yi-Kan; Wang, Yan-Bo; Yamamoto, Masahiro Unique continuation property with partial information for two-dimensional anisotropic elasticity systems. (English) Zbl 1482.74028 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 3-17 (2020). MSC: 74B05 74E10 74G30 35Q74 PDFBibTeX XMLCite \textit{J. Cheng} et al., Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 3--17 (2020; Zbl 1482.74028) Full Text: DOI arXiv
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Carleman estimate for linear viscoelasticity equations and an inverse source problem. (English) Zbl 1430.35266 SIAM J. Math. Anal. 52, No. 1, 718-791 (2020). MSC: 35R30 74D05 35Q74 45Q05 PDFBibTeX XMLCite \textit{O. Yu. Imanuvilov} and \textit{M. Yamamoto}, SIAM J. Math. Anal. 52, No. 1, 718--791 (2020; Zbl 1430.35266) Full Text: DOI arXiv
Cardoulis, Laure Applications of Carleman inequalities for a two-by-two parabolic system in an unbounded guide. (English) Zbl 1465.35405 Rostocker Math. Kolloq. 72, 49-71 (2019-2020). MSC: 35R30 35A23 35K51 PDFBibTeX XMLCite \textit{L. Cardoulis}, Rostocker Math. Kolloq. 72, 49--71 (2019; Zbl 1465.35405) Full Text: Link
Imanuvilov, OLEG Yu; Yamamoto, M. Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity. (English) Zbl 1433.35423 Inverse Probl. 35, No. 12, Article ID 125001, 45 p. (2019). MSC: 35Q92 35Q35 35R30 92C37 76Q05 PDFBibTeX XMLCite \textit{O. Y. Imanuvilov} and \textit{M. Yamamoto}, Inverse Probl. 35, No. 12, Article ID 125001, 45 p. (2019; Zbl 1433.35423) Full Text: DOI arXiv
Abidi, Yassine; Bellassoued, Mourad; Mahjoub, Moncef; Zemzemi, Nejib Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates. (English) Zbl 1458.35416 Math. Model. Nat. Phenom. 14, No. 2, Paper No. 202, 24 p. (2019). MSC: 35Q92 92C35 92C30 34A55 35K57 35R30 PDFBibTeX XMLCite \textit{Y. Abidi} et al., Math. Model. Nat. Phenom. 14, No. 2, Paper No. 202, 24 p. (2019; Zbl 1458.35416) Full Text: DOI HAL
Fernández-Cara, Enrique; Maestre, Faustino An inverse problem in elastography involving Lamé systems. (English) Zbl 1400.35231 J. Inverse Ill-Posed Probl. 26, No. 5, 589-605 (2018). MSC: 35R30 35L55 35Q74 49N45 74B05 PDFBibTeX XMLCite \textit{E. Fernández-Cara} and \textit{F. Maestre}, J. Inverse Ill-Posed Probl. 26, No. 5, 589--605 (2018; Zbl 1400.35231) Full Text: DOI
Bosi, Roberta; Kurylev, Yaroslav; Lassas, Matti Stability of the unique continuation for the wave operator via Tataru inequality: the local case. (English) Zbl 1420.35053 J. Anal. Math. 134, No. 1, 157-199 (2018). MSC: 35B60 35L15 35B45 PDFBibTeX XMLCite \textit{R. Bosi} et al., J. Anal. Math. 134, No. 1, 157--199 (2018; Zbl 1420.35053) Full Text: DOI Link
Bellassoued, Mourad; Le Rousseau, Jérôme Carleman estimates for elliptic operators with complex coefficients. II: Transmission problems. (English. French summary) Zbl 1391.35130 J. Math. Pures Appl. (9) 115, 127-186 (2018). MSC: 35J30 35J40 35B45 PDFBibTeX XMLCite \textit{M. Bellassoued} and \textit{J. Le Rousseau}, J. Math. Pures Appl. (9) 115, 127--186 (2018; Zbl 1391.35130) Full Text: DOI
Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M. Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. (English) Zbl 1474.35689 Inverse Probl. 34, No. 1, Article ID 015001, 27 p. (2018). MSC: 35R30 35L20 65M32 PDFBibTeX XMLCite \textit{L. Beilina} et al., Inverse Probl. 34, No. 1, Article ID 015001, 27 p. (2018; Zbl 1474.35689) Full Text: DOI arXiv
Shang, Yunxia; Zhao, Lixia; Li, Shumin; Ning, Wuqing An inverse problem for Maxwell’s equations in a uniaxially anisotropic medium. (English) Zbl 1466.35374 J. Math. Anal. Appl. 456, No. 2, 1415-1441 (2017). MSC: 35R30 35Q61 PDFBibTeX XMLCite \textit{Y. Shang} et al., J. Math. Anal. Appl. 456, No. 2, 1415--1441 (2017; Zbl 1466.35374) Full Text: DOI
Gaitan, Patricia; Ouzzane, Hadjer Stability result for two coefficients in a coupled hyperbolic-parabolic system. (English) Zbl 1432.35251 J. Inverse Ill-Posed Probl. 25, No. 3, 265-286 (2017). MSC: 35R30 35B30 35M33 35Q92 PDFBibTeX XMLCite \textit{P. Gaitan} and \textit{H. Ouzzane}, J. Inverse Ill-Posed Probl. 25, No. 3, 265--286 (2017; Zbl 1432.35251) Full Text: DOI HAL
Bosi, Roberta; Kurylev, Yaroslav; Lassas, Matti Stability of the unique continuation for the wave operator via Tataru inequality and applications. (English) Zbl 1339.35069 J. Differ. Equations 260, No. 8, 6451-6492 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B60 35L05 35B53 58J45 93B05 35R30 31B20 58E25 PDFBibTeX XMLCite \textit{R. Bosi} et al., J. Differ. Equations 260, No. 8, 6451--6492 (2016; Zbl 1339.35069) Full Text: DOI arXiv
Li, Shumin Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. II: An inverse source problem. (English) Zbl 1336.35224 Appl. Anal. 94, No. 11, 2287-2307 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L53 35R30 74E10 PDFBibTeX XMLCite \textit{S. Li}, Appl. Anal. 94, No. 11, 2287--2307 (2015; Zbl 1336.35224) Full Text: DOI
Li, Shumin Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. I: Carleman estimates. (English) Zbl 1336.35220 Appl. Anal. 94, No. 11, 2261-2286 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L51 74E10 35B45 PDFBibTeX XMLCite \textit{S. Li}, Appl. Anal. 94, No. 11, 2261--2286 (2015; Zbl 1336.35220) Full Text: DOI
Bellassoued, Mourad; Le Rousseau, Jérôme Carleman estimates for elliptic operators with complex coefficients. I: Boundary value problems. (English. French summary) Zbl 1329.35079 J. Math. Pures Appl. (9) 104, No. 4, 657-728 (2015). MSC: 35B45 35J30 35J40 35A27 35H20 35B60 PDFBibTeX XMLCite \textit{M. Bellassoued} and \textit{J. Le Rousseau}, J. Math. Pures Appl. (9) 104, No. 4, 657--728 (2015; Zbl 1329.35079) Full Text: DOI arXiv
Benabdallah, Assia; Cristofol, Michel; Gaitan, Patricia; De Teresa, Luz Controllability to trajectories for some parabolic systems of three and two equations by one control force. (English) Zbl 1281.93017 Math. Control Relat. Fields 4, No. 1, 17-44 (2014). MSC: 93B05 93B07 35K05 35K55 35R30 PDFBibTeX XMLCite \textit{A. Benabdallah} et al., Math. Control Relat. Fields 4, No. 1, 17--44 (2014; Zbl 1281.93017) Full Text: DOI
Li, Shumin; Yamamoto, Masahiro An inverse problem for Maxwell’s equations in isotropic and non-stationary media. (English) Zbl 1284.35463 Appl. Anal. 92, No. 11, 2335-2356 (2013). MSC: 35R30 35Q61 35R25 PDFBibTeX XMLCite \textit{S. Li} and \textit{M. Yamamoto}, Appl. Anal. 92, No. 11, 2335--2356 (2013; Zbl 1284.35463) Full Text: DOI
Choulli, Mourad; Imanuvilov, Oleg Yu.; Puel, Jean-Pierre; Yamamoto, Masahiro Inverse source problem for linearized Navier-Stokes equations with data in arbitrary sub-domain. (English) Zbl 1302.35432 Appl. Anal. 92, No. 10, 2127-2143 (2013). MSC: 35R30 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Choulli} et al., Appl. Anal. 92, No. 10, 2127--2143 (2013; Zbl 1302.35432) Full Text: DOI
Kirpichnikova, Anna; Kurylev, Yaroslav Inverse boundary spectral problem for Riemannian polyhedra. (English) Zbl 1266.58018 Math. Ann. 354, No. 3, 1003-1028 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J60 58J50 35R30 PDFBibTeX XMLCite \textit{A. Kirpichnikova} and \textit{Y. Kurylev}, Math. Ann. 354, No. 3, 1003--1028 (2012; Zbl 1266.58018) Full Text: DOI arXiv Link
Benabdallah, Assia; Dermenjian, Yves; Le Rousseau, Jérôme Carleman estimates for stratified media. (English) Zbl 1218.35238 J. Funct. Anal. 260, No. 12, 3645-3677 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35R05 35J15 35K10 47F05 PDFBibTeX XMLCite \textit{A. Benabdallah} et al., J. Funct. Anal. 260, No. 12, 3645--3677 (2011; Zbl 1218.35238) Full Text: DOI HAL
Le Rousseau, Jérôme; Robbiano, Luc Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces. (English) Zbl 1218.35054 Invent. Math. 183, No. 2, 245-336 (2011). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35B45 35K10 35R05 PDFBibTeX XMLCite \textit{J. Le Rousseau} and \textit{L. Robbiano}, Invent. Math. 183, No. 2, 245--336 (2011; Zbl 1218.35054) Full Text: DOI
Yuan, Ganghua; Yamamoto, Masahiro Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality. (English) Zbl 1207.49045 Chin. Ann. Math., Ser. B 31, No. 4, 555-578 (2010). MSC: 49N45 35R30 35B60 93B07 PDFBibTeX XMLCite \textit{G. Yuan} and \textit{M. Yamamoto}, Chin. Ann. Math., Ser. B 31, No. 4, 555--578 (2010; Zbl 1207.49045) Full Text: DOI
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro An inverse problem and an observability inequality for the Lamé system with stress boundary condition. (English) Zbl 1178.35380 Appl. Anal. 88, No. 5, 711-733 (2009). Reviewer: M. Marin (Brasov) MSC: 35R30 35B60 74B05 35B45 35B35 49J20 PDFBibTeX XMLCite \textit{O. Yu. Imanuvilov} and \textit{M. Yamamoto}, Appl. Anal. 88, No. 5, 711--733 (2009; Zbl 1178.35380) Full Text: DOI
Imanuvilov, Oleg Yu; Isakov, Victor; Yamamoto, Masahiro New realization of the pseudoconvexity and its application to an inverse problem. (English) Zbl 1181.35141 Appl. Anal. 88, No. 5, 637-652 (2009). MSC: 35L15 35R30 35B60 35B45 PDFBibTeX XMLCite \textit{O. Y. Imanuvilov} et al., Appl. Anal. 88, No. 5, 637--652 (2009; Zbl 1181.35141) Full Text: DOI
Isakov, Victor; Kim, Nanhee Carleman estimates with second large parameter for second order operators. (English) Zbl 1171.35021 Isakov, Victor (ed.), Sobolev spaces in mathematics. III: Applications in mathematical physics. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85651-3/hbk; 978-5-901873-28-1; 978-0-387-85791-6/set; 978-0-387-85652-0/e-book). International Mathematical Series 10, 135-159 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 35B45 74E10 35L55 PDFBibTeX XMLCite \textit{V. Isakov} and \textit{N. Kim}, in: Sobolev spaces in mathematics. III: Applications in mathematical physics. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher. 135--159 (2009; Zbl 1171.35021) Full Text: DOI
Bellassoued, Mourad; Yamamoto, Masahiro Determination of a coefficient in the wave equation with a single measurement. (English) Zbl 1149.35404 Appl. Anal. 87, No. 8, 901-920 (2008). MSC: 35Q60 78A25 35R30 PDFBibTeX XMLCite \textit{M. Bellassoued} and \textit{M. Yamamoto}, Appl. Anal. 87, No. 8, 901--920 (2008; Zbl 1149.35404) Full Text: DOI
Romanov, V. G. A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations. (English) Zbl 1151.35098 J. Inverse Ill-Posed Probl. 16, No. 6, 615-623 (2008). MSC: 35R25 35B45 35B35 35B60 PDFBibTeX XMLCite \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 16, No. 6, 615--623 (2008; Zbl 1151.35098) Full Text: DOI
Cardoulis, Laure; Cristofol, Michel; Gaitan, Patricia Inverse problem for the Schrödinger operator in an unbounded strip. (English. Abridged French version) Zbl 1147.35109 C. R., Math., Acad. Sci. Paris 346, No. 11-12, 635-640 (2008). MSC: 35R30 35J10 35B35 PDFBibTeX XMLCite \textit{L. Cardoulis} et al., C. R., Math., Acad. Sci. Paris 346, No. 11--12, 635--640 (2008; Zbl 1147.35109) Full Text: DOI arXiv
Bellassoued, Mourad; Yamamoto, Masahiro Lipschitz stability in determining density and two Lamé coefficients. (English) Zbl 1154.35455 J. Math. Anal. Appl. 329, No. 2, 1240-1259 (2007). MSC: 35Q72 35R30 74H55 PDFBibTeX XMLCite \textit{M. Bellassoued} and \textit{M. Yamamoto}, J. Math. Anal. Appl. 329, No. 2, 1240--1259 (2007; Zbl 1154.35455) Full Text: DOI
Li, Shumin; Yamamoto, Masahiro An inverse problem for Maxwell’s equations in anisotropic media. (English) Zbl 1121.35141 Chin. Ann. Math., Ser. B 28, No. 1, 35-54 (2007). MSC: 35R30 35Q60 35L50 78A25 PDFBibTeX XMLCite \textit{S. Li} and \textit{M. Yamamoto}, Chin. Ann. Math., Ser. B 28, No. 1, 35--54 (2007; Zbl 1121.35141) Full Text: DOI
Isakov, Victor; Wang, Jenn-Nan; Yamamoto, Masahiro Uniqueness and stability of determining the residual stress by one measurement. (English) Zbl 1155.35109 Commun. Partial Differ. Equations 32, No. 5, 833-848 (2007). Reviewer: Davide Guidetti (Bologna) MSC: 35R30 74B10 35B60 PDFBibTeX XMLCite \textit{V. Isakov} et al., Commun. Partial Differ. Equations 32, No. 5, 833--848 (2007; Zbl 1155.35109) Full Text: DOI Link
Romanov, V. G. Stability estimate for the solution to the elasticity equations with data on a timelike surface. (English. Russian original) Zbl 1132.35089 Dokl. Math. 74, No. 2, 653-655 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 2, 161-163 (2006). MSC: 35R30 58J45 35B45 74B05 PDFBibTeX XMLCite \textit{V. G. Romanov}, Dokl. Math. 74, No. 2, 653--655 (2006; Zbl 1132.35089); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 2, 161--163 (2006) Full Text: DOI
Eller, Matthias M.; Yamamoto, Masahiro A Carleman inequality for the stationary anisotropic Maxwell system. (English) Zbl 1106.35111 J. Math. Pures Appl. (9) 86, No. 6, 449-462 (2006). MSC: 35Q60 78A25 35B35 35R25 PDFBibTeX XMLCite \textit{M. M. Eller} and \textit{M. Yamamoto}, J. Math. Pures Appl. (9) 86, No. 6, 449--462 (2006; Zbl 1106.35111) Full Text: DOI
Klibanov, Michael V.; Yamamoto, Masahiro Lipschitz stability of an inverse problem for an acoustic equation. (English) Zbl 1274.35413 Appl. Anal. 85, No. 5, 515-538 (2006). MSC: 35R30 35L20 35R25 76Q05 PDFBibTeX XMLCite \textit{M. V. Klibanov} and \textit{M. Yamamoto}, Appl. Anal. 85, No. 5, 515--538 (2006; Zbl 1274.35413) Full Text: DOI
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Carleman estimates for the nonstationary Lamé system and the application to an inverse problem. (English) Zbl 1089.35086 ESAIM, Control Optim. Calc. Var. 11, 1-56 (2005). MSC: 35R30 35L15 74B05 35B60 PDFBibTeX XMLCite \textit{O. Yu. Imanuvilov} and \textit{M. Yamamoto}, ESAIM, Control Optim. Calc. Var. 11, 1--56 (2005; Zbl 1089.35086) Full Text: DOI Numdam EuDML