Yu. E. Anikonov, N. B. Ayupova, “Ray expansions and identities for the second order equations with applications to inverse problems”, Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 1,Pages <nobr>3

This article is cited in 3 papers

Ray expansions and identities for the second order equations with applications to inverse problems

Yu. E. Anikonov^ab, N. B. Ayupova^ab

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

Abstract: We develop a new method of investigation of inverse problems of mathematical physics which is based on the systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.

Keywords: ray expansion, inverse problems, particular solution, parabolic equations, hyperbolic equations.

UDC: 517.9

Received: 18.05.2016

DOI: 10.17377/PAM.2017.17.101