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On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia Abstract: We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved. Keywords: loaded equation, system of parabolic equation, weak approximation method, Cauchy problem, uniqueness, continuous dependence of the solution on the initial data. DOI: https://doi.org/10.17516/1997-1397-2019-12-3-298-309   Full text:
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UDC: 517.9 Received: 17.01.2019 Received in revised form: 25.01.2019 Accepted: 03.02.2019 Language: Citation: Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh, “On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 
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