Journal of Siberian Federal University. Mathematics & Physics / An Representation of the Solution of the Inverse Problem for a Multidimensional Parabolic Equation with Initial Data in the Form of a Product

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (1)
Authors
Frolenkov, Igor V.; Romanenko, Galina V.
Contact information
Frolenkov, Igor V. : e-mail: ; Romanenko, Galina V. : e-mail:
Keywords
inverse problem; identification problem; method of weak approximation; equations in partial derivatives; existence and uniqueness of the solution
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.

Pages
122-131
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2628