Biography of Michael V. Klibanov Professor, Ph.D. and Doctor of Science in Physics and Mathematics and an outstanding expert in inverse problems

References

• Buhgeim , AL and Klibanov , MV . 1981 . Uniqueness in the large of a class of multidimensional inverse problems . Sov. Math. Dokl. , 17 : 244 – 247 .
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• Klibanov , MV . 1981 . Uniqueness of Solutions in the ‘Large’ of Some Multidimensional Inverse Problems , Novosibirsk : Proceedings of Non-Classical Problems of Mathematical Physics, Computing Center of the Siberian Branch of the USSR Academy of Science . pp. 101–114
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• Klibanov , MV . 1984 . Inverse problems in the ‘large’ and Carleman bounds . Differ. Equ. , 20 : 755 – 760 .
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• Klibanov , MV . 1985 . Uniqueness in the ‘large’ of solutions of inverse problems for a class of differential equations . Differ. Equ. , 21 : 1390 – 1395 .
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• Klibanov , MV . 1992 . Inverse problems and Carleman estimates . Inverse Probl. , 8 : 575 – 596 .
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• Klibanov , MV and Timonov , A . 2004 . Carleman Estimates for Coefficient Inverse Problems and Numerical Applications , Utrecht, , The Netherlands : VSP .
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• Klibanov , MV . 1987 . Determination of a function with compact support from the absolute value of its Fourier transform and an inverse scattering problem . Differ. Equ. , 22 : 1232 – 1240 .
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• Klibanov , MV . 1987 . Inverse scattering problem and restoration of a function from the modulus of its Fourier transform . Siberian Math. J. , 27 : 708 – 719 .
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• Klibanov , MV and Sacks , PE . 1992 . Phaseless inverse scattering and the inverse problem in optics . J. Math. Phys. , 33 : 3813 – 3821 .
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• Klibanov , MV . 2006 . On the recovery of a 2-D function from the modulus of its Fourier transform . J. Math. Anal. Appl. , 323 : 818 – 843 .
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• Klibanov , MV and Danilaev , PG . 1990 . On the solutions of coefficient inverse problems by the method of quasi-inversion . Sov. Math. Dokl. , 41 : 83 – 87 .
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• Klibanov , MV and Malinsky , J . 1991 . Newton-Kantorovich method for 3-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time dependent data . Inverse Probl. , 7 : 577 – 595 .
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• Kazemi , M and Klibanov , MV . 1993 . Stability estimates for ill-posed Cauchy problems involving hyperbolic equations and inequalities . Appl. Anal. , 50 : 93 – 102 .
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• Klibanov , MV and Yamamoto , M . 2007 . Exact controllability for the time dependent transport equation . SIAM J. Control Optim. , 46 : 2071 – 2095 .
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• Klibanov , MV and Rakesh , R . 1992 . Numerical solution of a timelike Cauchy problem for the wave equation . Math. Methods Appl. Sci. , 15 : 559 – 570 .
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• Clason , C and Klibanov , MV . 2007 . The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium . SIAM J. Sci. Comp. , 30 : 1 – 23 .
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• Klibanov , MV , Kuzhuget , AV , Kabanikhin , SI and Nechaev , DV . 2008 . A new version of the quasi-reversibility method for the thermoacoustic tomography and a coefficient inverse problem . Appl. Anal. , 87 : 1227 – 1254 .
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• Beilina , L and Klibanov , MV . 2008 . A globally convergent numerical method for a coefficient inverse problem . SIAM J. Sci. Comp. , 31 : 478 – 509 .
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• Beilina , L and Klibanov , MV . 2010 . Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem . J. Inverse Ill-Posed Prob. , 18 : 85 – 132 .
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• Klibanov , MV , Fiddy , MA , Beilina , L and Schenk , J . 2010 . Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem . Inverse Probl. , 26 ID 045003
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• Klibanov , MV and Timonov , A . 2004 . A unified framework for constructing of globally convergent numerical algorithms for multidimensional coefficient inverse problems . Appl. Anal. , 83 : 933 – 955 .
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• Xin , J and Klibanov , MV . 2008 . Numerical solution of an inverse problem of imaging of antipersonnel land mines by the globally convergent convexification algorithm . SIAM J. Sci. Comp. , 30 : 3170 – 3186 .
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