Publications

Bellassoued, Mourad; Ben Aicha Ibtissem, An inverse problem of finding two time-dependent coefficients in second order hyperbolic equations from Dirichlet to Neumann map, Journal of Mathematical Analysis and Applications, 475, Issue 2, 15 July 2019, Pages 1658-1684.

Bellassoued, M, Moufid, C., Yamamoto, M., A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium, Applicable Analysis, 2019.

Bellassoued, M. , Rassas, I., Stability estimate in the determination of a time-dependent coefficient for hyperbolic equation by partial Dirichlet-to-Neumann map, Applicable Analysis16 June 2018, Pages 1-32.

Yassine Abidi, Mourad Bellassoued, Moncef Mahjoub, and Nejib Zemzemi, Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates, Math. Model. Nat. Phenom. 14 (2019), no. 2, 1–24, DOI 10.1051/mmnp/2018060.

Mourad Bellassoued, Yavar Kian, and Eric Soccorsi, An inverse problem for the magnetic Schr¨odinger equation in infinite cylindrical domains, Publ. Res. Inst. Math. Sci. 54 (2018), no. 4, 679–728, DOI 10.4171/PRIMS/54-4-1.

Mourad Bellassoued and Jérôme Le Rousseau, Carleman estimates for elliptic operators with complex coecients. Part II : Transmission problems, J. Math. Pures Appl. (9) 115 (2018), 127–186, DOI 10.1016/j.matpur.2018.04.001.

Yassine Abidi, Mourad Bellassoued, Moncef Mahjoub, and Nejib Zemzemi, On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling, Inverse Problems 34 (2018), no. 3, 035005, 34, DOI 10.1088/1361-6420/aaa72e.

Mourad Bellassoued and Masahiro Yamamoto, Carleman estimates and applications to inverse problems for hyperbolic systems, Springer Monographs in Mathematics, Springer, Tokyo, 2017.

Bellassoued, Mourad; Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field, Inverse Problems, 2017,

Bellassoued, Mourad; Ben Aicha Ibtissem, Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map. Journal of Mathematical Analysis and Applications, 2017.

Bellassoued, M. ; Imanuvilov, O. ; Yamamoto, M. Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem, 2016 Inverse Problems 32, 025001.

Bellassoued, M., Kian, K., Soccorsi,E., An inverse stability result for non compactly supported potentials by one arbitrary lateral Neumann observation, Journal of Dierential Equations, J. Differential Equations, 260, (2016), 7535 -7562.

Bellassoued M., Riahi, B.: Carleman estimate for Biot consolidation system in poro-elasticity and application to inverse problems, accepted for publication in Math. Meth. App. Sc, 2016.

M.Bellassoued, J.Le Rousseau : Carleman estimates for elliptic operators with complex coefficients. Part I : boundary value problems. J. Math. Pures Appl. 104 (2015), pp. 657-728.

Bellassoued, Mourad; Yamamoto, Masahiro, Carleman estimates for anisotropic hyperbolic systems in Riemannian manifolds and applications, Lecture Notes in Mathematical Sciences, The University of Tokyo, 119 p, 2012.

Bellassoued, M.; Choulli, M.; Jbalia, A., Stability of the determination of the surface impedance of an obstacle from the scattering amplitude, Mathematical Methods in the Applied Sciences, 36, 18, 2429-2448, 2013.

Bellassoued M., Cristoffol M., Soccorsi E., Inverse boundary problem for the dynamical heterogeneous Maxwell system, Inverse Problems, vol. 28 p.095009 (2012).

Bellassoued, Mourad; Yamamoto, Masahiro, Carleman Estimate and Inverse Source Problem for Biot's Equations Describing Wave Propagation in Porous Media, 2013 Inverse Problems, 29, 115002.

Bellassoued, Mourad; Yamamoto, Masahiro, Carleman estimates and an inverse heat source problem for the thermoelasticity system, Inverse Problems 27, 015006, 2011.

Bellassoued, M.; Yamamoto, M. Carleman estimate with second large parameter for second order hyperbolic operators in a Riemannian manifold and applications in thermoelasticity cases, Applicable Analysis, 91 (1), 35-67, 2012.

Bellassoued, M.; Choulli, M.; Yamamoto, M. Stability for multidimensional inverse spectral problem with partial spectral data J. Math. Anal. Appl. 378 (1), 184-197, 2011,

Bellassoued, M.; David Dos Santos Ferreira, Stability estimate for an inverse problem for the dynamical anisotropic Schrödinger equation from the Dirichlet to Neumann map. Inverse Problems 26 (2010) 125010 (30pp).

Bellassoued, Mourad, Ferreira, David Dos Santos, Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map, Inverse Problems and Imaging VOLUME 5, No. 4, 2011, 745–773.

Bellassoued, Mourad ; Choulli Mourad. Stability estimate for an inverse problem for the magnetic Schrodinger equation from the Dirichlet-to-Neumann map. In press in J. Funct. Anal. 258 (2010), no. 1, 161–195.

Bellassoued, M; Choulli, M; Yamamoto, M. Stability estimate for an inverse wave equation and a multidimensional Borg-Levinson theorem, Journal of Differential Equations, 247 (2009) 465-494.

Bellassoued, M.; Choulli M. Logarithmic Stability in the dynamical inverse problem for the Schrödinger equation by arbitrary boundary observation, J. Math. Pures Appl. 91 (2009) 233-255.

Bellassoued, Mourad; Yamamoto, Masahiro: Determination of a coefficient in the wave equation with a single measurement, Appl. Anal. 87, (2008), no 8, 901 - 920.

Bellassoued, M.; Jellali, D.; Yamamoto, M. Lipschitz stability in an inverse problem for the acoustic wave equation with finte sets of Boundary data, Appl. Anal. 87, (2008), no 10, 1105 - 1119.

Bellassoued, Mourad. Energy decay for the elastic wave equation with a local time-dependent nonlinear damping. Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 7, 1175-1192.

Bellassoued, M.; Jellali, D.; Yamamoto, M. Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map. J. Math. Anal. Appl. 343 (2008), no. 2, 1036-1046.

Bellassoued, M.; Imanuvilov, O.; Yamamoto, M. Inverse problem of determining the density and two Lamé coefficients by boundary data. SIAM J. Math. Anal. 40 (2008), no. 1, 238-265.

Bellassoued, Mourad; Cheng, Jin ; Choulli, Mourad . Stability estimate for an inverse boundary coefficient problem in thermal imaging. J. Math. Anal. Appl. 343 (2008), no. 1, 328-336.

Bellassoued, Mourad; Benjoud, Hajer. Stability estimate for an inverse problem for the wave equation in a magnetic field. Appl. Anal. 87 (2008), no. 3, 277-292.

Bellassoued, Mourad; Yamamoto, Masahiro. Lipschitz stability in determining density and two Lamé coefficients. J. Math. Anal. Appl. 329 (2007), no. 2, 1240-1259.

Bellassoued, Mourad; Yamamoto, Masahiro . Inverse source problem for the wave equation. Differential & difference equations and applications, 149--158, Hindawi Publ. Corp., New York, 2006.

Bellassoued, M.; Jellali, D.; Yamamoto, M. Lipschitz stability for a hyperbolic inverse problem by finite local boundary data. Appl. Anal. 85 (2006), no. 10, 1219-1243.

Bellassoued, Mourad; Yamamoto, Masahiro. Lipschitz stability in an inverse hyperbolic problem by boundary observations, Proceedings of the Five ISAAC Congress, Vol. 2(Catania, 2005), 1363-1374, Int. Soc. Anal. Appl. Comput., 8, Kluwer Acad. Publ.

Bellassoued, Mourad; Yamamoto, Masahiro. Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation. J. Math. Pures Appl. (9) 85 (2006), no. 2, 193-224.

Bellassoued, M.; Yamamoto, M. Inverse source problem for a transmission problem for a parabolic equation. J. Inverse Ill-Posed Probl. 14 (2006), no. 1, 47-56.

Bellassoued, Mourad. Decay of solutions of the wave equation with arbitrary localized nonlinear damping. J. Differential Equations 211 (2005), no. 2, 303-332.

Bellassoued, Mourad. Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients. Appl. Anal. 83 (2004), no. 10, 983-1014.

Bellassoued, Mourad. Global logarithmic stability in inverse hyperbolic problem by arbitrary boundary observation. Inverse Problems 20 (2004), no. 4, 1033-1052.

Bellassoued, Mourad. Decay of solutions of the elastic wave equation with a localized dissipation. Ann. Fac. Sci. Toulouse Math. (6) 12 (2003), no. 3, 267-301.

Bellassoued, Mourad. Carleman estimates and distribution of resonances for the transparent obstacle and application to the stabilization. Asymptot. Anal. 35 (2003), no. 3-4, 257-279.

Bellassoued, Mourad. Unicité et contrôle pour le système de Lamé. ESAIM Control Optim. Calc. Var. 6 (2001), 561-592.

Bellassoued, Mourad. Carleman estimate and decay rate of the local energy for the Neumann problem of elasticity. Carleman estimates and applications to uniqueness and control theory (Cortona, 1999), 15--36, Progr. Nonlinear Differential Equations Appl., 46, Birkhäuser Boston, Boston, MA, 2001.

Bellassoued, Mourad. Distribution of resonances and decay rate of the local energy for the elastic wave equation. Comm. Math. Phys. 215 (2000), no. 2, 375-408.