N. L. Abasheeva, Yu. E. Anikonov, “Operator formulae in the inverse problems for evolution equations”, Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 3,Pages <nobr>8

Operator formulae in the inverse problems for evolution equations

N. L. Abasheeva^ab, Yu. E. Anikonov^ab

^a Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia
^b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia

Abstract: In the article it is given the general representations of the solutions of inverse problems for evolution equations. We obtain the equations of the second kind related to the construction of special solutions of nonlinear equations generated by the mappings of Euclidean spaces.

Keywords: inverse problems, operator formulae, evolution equations.

UDC: 517.9

Received: 17.11.2016

DOI: 10.17377/PAM.2017.17.1