Journal of Siberian Federal University. Mathematics & Physics / A Representation of Solution of the Identification Problem of the Coefficients at Second Order Operator in the Multi-Dimensional Parabolic Equations System

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
Authors
Romanenko, Galina V.
Contact information
Romanenko, Galina V.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia;
Keywords
inverse problem; identification problem; method of weak approximation; ystem of equations in partial derivatives; existence and uniqueness of the solution
Abstract

An identification problem of the coefficients at differential operator of second order and sum of lowest terms in system of multidimensional parabolic equations with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems have been proved. The method of weak approximation is used to the proof existence of solutions

Pages
100–111
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/10142