In the Laboratory of Inverse Problems of Mathematical Physics headed by Professor Yu.E.
Anikonov, investigations on inverse problems for general evolutionary equations and
kinetic equations are carried on. Various problems of recovering body shapes by
functionals of their projections on planes are studied. Questions of existence,
uniqueness, and stability of solution to linear and nonlinear problems of integral
geometry are considered. Applications of the theory of multidimensional inverse problems
to tomography, geophysics, sociology, in particular, for modeling of ethnic processes, are
Anikonov Yu.E. Some
methods of investigations of multidimensional inverse problems for differential equations.
Novosibirsk, 1978 (in Russian)
Anikonov Yu.E. Multidimensional
Inverse and Ill-posed Problems for Differential Equation. VSP, Utrecht, The Netherland, Tokyo, Japan, 1995. 138 p.
Anikonov Yu.E., Bubnov B.A., and Erokhin G.N. Inverse and Ill-Posed Sources
Problems.VSP, Utrecht, The Netherland, 1997. 239 p.
Anikonov Yu.E. Formulas in Inverse and
Ill-Posed Problems. VSP, Utrecht, The Netherland, 1997. 203 p.
Anikonov Yu.E. Inverse problems for kinetic
and other evolution equations. VSP, Utrecht, The Netherland, 2001. 270 p.
Yu.E. Anikonov is a Professor of Novosibirsk State University.
Yu.E. Anikonov is a member of the editorial board of the Journal of Inverse and Ill-Posed
Problems and heads the scientific seminar “Inverse Problems of Mathematical
Sobolev Institute of Mathematics