Igor V. Frolenkov, Galina V. Romanenko, “An representation of the solution of the inverse problem for a multidimensional parabolic equation with initial data in the form of a product”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 1,Pages <nobr>122

This article is cited in 2 papers

An representation of the solution of the inverse problem for a multidimensional parabolic equation with initial data in the form of a product

Igor V. Frolenkov, Galina V. Romanenko

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: An identification problem of the coefficient at differential operator of second order in multidimensional parabolic equation with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems has been proved.

Keywords: inverse problem, identification problem, method of weak approximation, equations in partial derivatives, existence and uniqueness of the solution.

UDC: 517.9

Received: 21.07.2011
Received in revised form: 15.09.2011
Accepted: 15.10.2011