Yu. E. Anikonov, N. B. Aiupova, V. G. Bardakov, V. P. Golubyatnikov, M. V. Neshchadim, “Inversion of mapping and inverse problems”, Sib. Èlektron. Mat. Izv., 2012, Volume 9,Pages <nobr>382

This article is cited in 11 papers

Differentical equations, dynamical systems and optimal control

Inversion of mapping and inverse problems

Yu. E. Anikonov^a, N. B. Aiupova^ba, V. G. Bardakov^ba, V. P. Golubyatnikov^ab, M. V. Neshchadim^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We expose some selected results in finite-dimensional mapping theory and their connections with theory of inverse problems for evolution equations. We obtain new representations of solutions of multidimensional nonlinear evolution equations and those of their coefficients.

Keywords: inverse problems, evolution equations, ill-posed problems, representations of solutions, systems of differential equations, finite-dimensional mapping.

UDC: 517.9

MSC: 35R30

Received April 16, 2012, published August 26, 2012