Vesselin Petkov et Nikolay Tzvetkov (rapporteur) ,
avenue Gaston Berger 13625 Aix-en-Provence cedex 1) et laboratoire de recherche ,
Publications et prépublications Production scientifique 26 articles publiés ou à paraître dans des revues avec comité de lecture. 9 articles soumis et prépublications. 1 chapitre de livre Publications et prépublication accépté dans des revues internationales 1) Y. Kian, Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric, pp.68-109, 2010. ,
Cauchy problem for semilinear wave equation with time-dependent metrics, Nonlinear Analysis: Theory, Methods & Applications, pp.2204-2212, 2010. ,
DOI : 10.1016/j.na.2010.05.048
URL : http://arxiv.org/pdf/1102.4174
Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates, Serdica Math, J, vol.36, pp.329-370, 2010. ,
Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle, Cubo (Temuco), vol.14, issue.2, pp.14-153, 2012. ,
DOI : 10.4067/S0719-06462012000200008
URL : https://hal.archives-ouvertes.fr/hal-01259777
Stability of the determination of a time-dependent coefficient in parabolic equations, Mathematical Control and Related Fields, vol.3, issue.2, pp.143-160, 2013. ,
DOI : 10.3934/mcrf.2013.3.143
URL : https://hal.archives-ouvertes.fr/hal-00673690
A stability result for a time-dependent potential in a cylindrical domain, Inverse Problems, vol.29, issue.6, p.65006, 2013. ,
DOI : 10.1088/0266-5611/29/6/065006
A Carleman estimate for infinite cylindrical quantum domains and the application to inverse problems, Inverse Problems, vol.30, issue.5, 2014. ,
DOI : 10.1088/0266-5611/30/5/055016
Stability of the determination of a coefficient for wave equations in an infinite waveguide, Inverse Problems and Imaging, vol.8, issue.3, pp.713-732, 2014. ,
DOI : 10.3934/ipi.2014.8.713
URL : https://hal.archives-ouvertes.fr/hal-00824508
Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains, preprint, Journal of Mathematical Analysis and Applications, pp.426-194, 2015. ,
Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian, Asymptotic Analysis, pp.92-259, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00916900
Uniqueness and stability results for an inverse spectral problem in a periodic waveguide, Journal de Math??matiques Pures et Appliqu??es, vol.104, issue.6, pp.1160-1189, 2015. ,
DOI : 10.1016/j.matpur.2015.09.002
URL : https://hal.archives-ouvertes.fr/hal-01143129
Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide, SIAM Journal on Mathematical Analysis, vol.47, issue.6, pp.4536-4558, 2015. ,
DOI : 10.1137/140986268
URL : https://hal.archives-ouvertes.fr/hal-00839344
Double Logarithmic Stability in the Identification of a Scalar Potential by a Partial Elliptic Dirichlet-to-Neumann Map, Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", vol.8, issue.3, pp.78-94, 2015. ,
DOI : 10.14529/mmp150305
URL : https://hal.archives-ouvertes.fr/hal-01096168
Determination of time dependent factors of coefficients in fractional diffusion equations, Mathematical Control and Related Fields, vol.6, issue.2, pp.251-269, 2016. ,
DOI : 10.3934/mcrf.2016003
URL : https://hal.archives-ouvertes.fr/hal-01101556
Unique determination of a time-dependent potential for wave equations from partial data, Annales de l'IHP (C) Nonlinear Analysis, pp.973-990, 2017. ,
Stability in the determination of a time-dependent coefficient for wave equations from partial data, Journal of Mathematical Analysis and Applications, vol.436, issue.1, pp.436-408, 2016. ,
DOI : 10.1016/j.jmaa.2015.12.018
URL : https://hal.archives-ouvertes.fr/hal-01011051
An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation, Journal of Differential Equations, vol.260, issue.10, pp.7535-7562, 2016. ,
DOI : 10.1016/j.jde.2016.01.033
URL : https://hal.archives-ouvertes.fr/hal-01180254
Recovery of Time-Dependent Damping Coefficients and Potentials Appearing in Wave Equations from Partial Data, SIAM Journal on Mathematical Analysis, vol.48, issue.6, pp.4021-4046, 2016. ,
DOI : 10.1137/16M1076708
URL : https://hal.archives-ouvertes.fr/hal-01295818
On existence and uniqueness of solutions for semilinear fractional wave equations , Fractional Calculus and Applied Analysis, pp.117-138, 2017. ,
A multidimensional Borg-Levinson theorem for magnetic Schrödinger operators with partial spectral data, Journal of Spectral Theory ,
Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map, Journal of Spectral Theory ,
URL : https://hal.archives-ouvertes.fr/hal-01259753
On the Calderón problem in periodic cylindrical domain with partial Dirichlet and Neumann data, à paraître dans, Mathematical Methods in the Applied Sciences ,
Global uniqueness in an inverse problem for time fractional diffusion equations, Journal of Differential Equations, vol.264, issue.2, pp.1146-1170, 2018. ,
DOI : 10.1016/j.jde.2017.09.032
URL : https://hal.archives-ouvertes.fr/hal-01250971
Recovery of time-dependent coefficient on Riemannian manifold for hyperbolic equations, à paraître dans IMRN, https ,
An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains ,
Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term, J. Math. Pures Appl ,
URL : https://hal.archives-ouvertes.fr/hal-01322796
soumis 1) Y. Kian, On the meromorphic continuation of the resolvent for the wave equation with time-periodic perturbations and applications, preprint ,
Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide, preprint ,
A uniqueness result for time-fractional diffusion equations with space-dependent variable order, preprint ,
Application of the boundary control method to partial data Borg- Levinson inverse spectral problem, preprint ,
Hölder stably determining the time-dependent electromagnetic potential of the Schrödinger equation, preprint ,
Determination of singular time-dependent coefficients for wave equations from full and partial data, preprint ,
Inverse source problems in elastodynamics, preprint ,
Recovery of non compactly supported coefficients of elliptic equations on an infinite waveguide, preprint ,
Initial-boundary value problem for distributed order time-fractional diffusion equations, preprint ,
DOI : 10.2478/s13540-014-0217-x
URL : http://www.degruyter.com/downloadpdf/j/fca.2014.17.issue-4/s13540-014-0217-x/s13540-014-0217-x.xml
Exposé à la troisième rencontre conférence du GDR "Dynamique Quantique, Fevrier, 2011. ,
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Solution for a fractional diffusion-wave equation defined in a bounded domain, Nonlinear Dyn, vol.29, pp.145-155, 2002. ,
Inverse Spectral-Scattering Problem with Two Sets of Discrete Spectra for the Radial Schrödinger Equation, Inverse Problems, vol.2222, issue.11, pp.10-1088, 2006. ,
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Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations, J. Diff. Equat, vol.259, issue.7, pp.3344-3365, 2015. ,
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Null-control and measurable sets, ESAIM: Control, Optimisation and Calculus of Variations, pp.239-254, 2013. ,
Calderón's inverse conductivity problem in the plane, Ann. of Math, vol.163, pp.265-299, 2006. ,
Stability of Calderón inverse conductivity problem in the plane, Jour. Math. Pures Appl, vol.88, pp.522-556, 2007. ,
Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary, SIAM Journal on Control and Optimization, vol.30, issue.5, pp.1024-1065, 1992. ,
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Uniqueness and stability in an inverse problem for the Schrödinger equation, Inverse Problems, vol.18, pp.1537-1554, 2002. ,
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To the reconstruction of a riemannian manifold via its spectral data (Bc???Method), Communications in Partial Differential Equations, vol.107, issue.5-6, pp.767-804, 1992. ,
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Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field, Inverse Problems, vol.33, p.55009, 2017. ,
Stable determination outside a cloaking region of two timedependent coefficients in an hyperbolic equation from Dirichlet to Neumann map, J. Math. Anal. Appl, pp.449-495, 2017. ,
Logarithmic stability in the dynamical inverse problem for the Schrödinger equation by arbitrary boundary observation, J. Math. Pures Appl, pp.91-233, 2009. ,
Stability estimate for an inverse problem for the magnetic Schr??dinger equation from the Dirichlet-to-Neumann map, Journal of Functional Analysis, vol.258, issue.1, pp.161-195, 2010. ,
DOI : 10.1016/j.jfa.2009.06.010
Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map, Inverse Problems, pp.26-125010, 2010. ,
Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map, Inverse Problems and Imaging, vol.5, issue.4, pp.745-773, 2011. ,
DOI : 10.3934/ipi.2011.5.745
Lipschitz stability for a hyperbolic inverse problem by finite local boundary data, Applicable Analysis, vol.85, issue.10, pp.1219-1243, 2006. ,
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Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map, Journal of Mathematical Analysis and Applications, vol.343, issue.2, pp.1036-1046, 2008. ,
DOI : 10.1016/j.jmaa.2008.01.098
An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation, Journal of Differential Equations, vol.260, issue.10, pp.7535-7562, 2016. ,
DOI : 10.1016/j.jde.2016.01.033
URL : https://hal.archives-ouvertes.fr/hal-01180254
An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains ,
Stability estimate for hyperbolic inverse problem with time-dependent coefficient, Inverse Problems, pp.31-125010, 2015. ,
Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient, J. Math. Phys, pp.58-071508, 2017. ,
Stability and uniqueness for a twodimensional inverse boundary value problem for less regular potentials, Inverse Prob, Imaging, vol.9, issue.3, pp.709-723, 2015. ,
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DOI : 10.1016/0022-247X(90)90414-B
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Determining Two Coefficients in Elliptic Operators via Boundary Spectral Data: a Uniqueness Result, Bolletino Unione Mat. Ital. Sez. B Artic. Ric. Mat, vol.7, issue.8 1, pp.207-230, 2004. ,
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Stability estimates for the Radon transform with restricted data and applications, Advances in Mathematics, vol.267, pp.523-564, 2014. ,
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URL : https://hal.archives-ouvertes.fr/hal-01251750
Stability estimates for the Calderón problem with partial data, J. Diff. Equat, vol.260, pp.2457-2489, 2016. ,
Stability of the Calderón problem for less regular conductivities, J. Diff. Equat, vol.254, issue.2, pp.469-492, 2013. ,
Stability of inverse problems in an infinite slab with partial data, Commun. Partial Diff. Eqns, pp.41-683, 2016. ,
GLOBAL UNIQUENESS FOR THE CALDER??N PROBLEM WITH LIPSCHITZ CONDUCTIVITIES, Forum of Mathematics, Pi, vol.25, p.2, 2016. ,
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Stability estimates for an inverse problem for the magnetic Schrödinger operator, IMRN, pp.2015-11083, 2015. ,
Stability of the Calderón problem in admissible geometries, Inverse Probl. Imaging, vol.8, pp.939-957, 2014. ,
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Uniqueness in an inverse problem for a one dimensional fractional diffusion equation, Inverse Problems, pp.25-115002, 2009. ,
Carleman estimate for a fractional diffusion equation with half order and application, Appl. Anal, vol.90, issue.9, pp.1355-1371, 2011. ,
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Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian, Asymptotic Analysis, pp.92-259, 2015. ,
Stability of the determination of a time-dependent coefficient in parabolic equations, Mathematical Control and Related Fields, vol.3, issue.2, pp.143-160, 2013. ,
DOI : 10.3934/mcrf.2013.3.143
URL : https://hal.archives-ouvertes.fr/hal-00673690
Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term, preprint ,
URL : https://hal.archives-ouvertes.fr/hal-01322796
Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide, New Prospects in Direct, Inverse and Control Problems for Evolution Equations, pp.93-105 ,
Double logarithmic stability estimate in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map, Bulletin SUSU MMCS, vol.8, issue.3, pp.78-94, 2015. ,
Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide, SIAM Journal on Mathematical Analysis, vol.47, issue.6, pp.4536-4558, 2015. ,
DOI : 10.1137/140986268
URL : https://hal.archives-ouvertes.fr/hal-00839344
Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map ,
On the Calder??n problem in periodic cylindrical domain with partial Dirichlet and Neumann data, Mathematical Methods in the Applied Sciences, vol.47, issue.6 ,
DOI : 10.1137/140986268
Stable determination of a semilinear term in a parabolic equation, Commun. Pure Appl. Anal, vol.5, issue.3, pp.447-462, 2006. ,
Recovering the twisting function in a twisted waveguide from the DN map, Journal of Spectral Theory, vol.5, pp.295-329, 2015. ,
Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data, Commun. Partial Diff. Eqns, vol.38, issue.3, pp.455-476, 2013. ,
Some stability estimates in determining sources and coefficients, Journal of Inverse and Ill-posed Problems, vol.18, issue.5, pp.233-243, 2004. ,
DOI : 10.1088/0266-5611/8/4/009
Some stability estimates in determining sources and coefficients, Journal of Inverse and Ill-posed Problems, vol.18, issue.5, pp.355-373, 2006. ,
DOI : 10.1088/0266-5611/8/4/009
A partial data result for the magnetic Schrödinger inverse problem, Analysis & PDE, vol.7, pp.117-157, 2014. ,
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary, pp.407-427, 2016. ,
Determining an unbounded potential from Cauchy data in admissible geometries, Commun. Partial Diff. Eqns, vol.38, pp.50-68, 2014. ,
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Determining a magnetic Schrödinger operator from partial Cauchy data, Comm. Math. Phys, vol.271, issue.2, pp.467-488, 2007. ,
The Calderón problem in transversally anisotropic geometries, J. Eur. Math. Soc, vol.18, pp.2579-2626, 2016. ,
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Inverse problems for general second order hyperbolic equations with time-dependent coefficients , to appear in Bull, Math. Sci ,
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Determination of time dependent factors of coefficients in fractional diffusion equations, pp.251-269, 2016. ,
A stability result for a time-dependent potential in a cylindrical domain, Inverse Problems, vol.29, issue.6, p.65006, 2013. ,
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The Calderón problem with partial data on manifolds and applications, Analysis & PDE, vol.6, issue.8, pp.2003-2048, 2013. ,
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Stability of the determination of a coefficient for wave equations in an infinite waveguide, Inverse Probl. Imaging, vol.8, issue.3, pp.713-732, 2014. ,
Unique determination of a time-dependent potential for wave equations from partial data, Annales de l'IHP (C) Nonlinear Analysis, pp.973-990, 2017. ,
Stability in the determination of a time-dependent coefficient for wave equations from partial data, Jour. Math. Anal. Appl, vol.436, pp.408-428, 2016. ,
A multidimensional Borg-Levinson theorem for magnetic Schrödinger operators with partial spectral data, to appear in Journal of Spectral Theory ,
Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data, SIAM J. Math. Anal, vol.48, issue.6, pp.4021-4046, 2016. ,
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem, preprint ,
Recovery of time-dependent coefficient on Riemannian manifold for hyperbolic equations, to appear in IMRN, https ,
Global uniqueness in an inverse problem for time-fractional diffusion equations, J. Diff. Equat, vol.264, pp.1146-1170, 2018. ,
A Carleman estimate for infinite cylindrical quantum domains and the application to inverse problems, Inverse Problems, vol.30, issue.5, p.55016, 2014. ,
DOI : 10.1088/0266-5611/30/5/055016
Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains, Jour. Math. Anal. Appl, vol.426, issue.1, pp.194-210, 2015. ,
Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide, preprint ,
Hölder stability in the recovery of time-dependent electromagnetic potential for Schrödinger equations, preprint ,
On time-fractional diffusion equations with spacedependent variable order, preprint ,
On existence and uniqueness of solutions for semilinear fractional wave equations, Fractional Calculus and Applied Analysis, pp.117-138, 2017. ,
Theory and applications of fractional differential equations, 2006. ,
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