Journal of Siberian Federal University. Mathematics & Physics: On Solvability of the Cauchy Problem for a Loaded System

Journal of Siberian Federal University. Mathematics & Physics / On Solvability of the Cauchy Problem for a Loaded System

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (2)
Authors: Belov, Yuriy Ya.; Korshun, Kirill V.
Contact information: Belov, Yuriy Ya.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Korshun, Kirill V.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords: Cauchy problem; inverse problem; Burgers’ equation; non-linear system; weak approximation method
Abstract: In this work we investigated the Cauchy problem for a loaded Burgers-type system. Example of mathe- matical physics inverse problem leading to problem being investigated is given. Sufficient conditions for existence of solution in continuously differentiable class are obtained
Pages: 155–161
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/10301