D. G. Orlovsky, S. I. Piskarev, “On approximation of coefficient inverse problems for differential equations in functional spaces”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017, Volume 133,Pages <nobr>3

This article is cited in 9 papers

On approximation of coefficient inverse problems for differential equations in functional spaces

D. G. Orlovsky^a, S. I. Piskarev^b

^a National Engineering Physics Institute "MEPhI", Moscow
^b Lomonosov Moscow State University

Abstract: This paper is devoted to the theory of approximation of coefficient inverse problems for differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We present general statements of problems and their approximations and review results obtained earlier in the literature.

Keywords: abstract differential equation, abstract hyperbolic problem, abstract elliptic problem, abstract parabolic problem, $C_0$-semigroup, Banach space, semidiscretization, inverse overdetermined problem, finite-difference scheme, discrete semigroup.

UDC: 517.956.46, 517.956.27, 517.956.37

MSC: 35Nxx, 65Jxx, 65Nxx, 35Jxx, 47Dxx