Journal of Siberian Federal University. Mathematics & Physics: An Identiﬁcation Problem of Coeﬃcient in the Special Form at Source Function for Multi-dimensional Parabolic Equation with Cauchy Data

Journal of Siberian Federal University. Mathematics & Physics / An Identiﬁcation Problem of Coeﬃcient in the Special Form at Source Function for Multi-dimensional Parabolic Equation with Cauchy Data

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
Authors: Frolenkov, Igor V.; Kriger, Ekaterina N.
Contact information: Frolenkov, Igor V.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; e-mail: ; Kriger, Ekaterina N.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; e-mail:
Keywords: inverse problem; identiﬁcation of coeﬃcient at source function; multi-dimensional parabolic equation; method of weak approximation; existence and uniqueness of solution; Cauchy problem
Abstract: The existence and uniqueness of solution of the identiﬁcation problem for multi-dimensional parabolic equation with source function of the special form in the case of Cauchy’s data has been proved in this paper.
Pages: 186–199
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/9666