Journal of Siberian Federal University. Mathematics & Physics: On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data

Journal of Siberian Federal University. Mathematics & Physics / On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (3)
Authors: Frolenkov, Igor V.; Antipina, Irina S.; Terskikh, Natalya M.
Contact information: Frolenkov, Igor V.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Antipina, Irina S.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Terskikh, Natalya M.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords: loaded equation; system of parabolic equation; weak approximation method; Cauchy problem; uniqueness; continuous dependence of the solution on the initial data
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
Pages: 298–309
DOI: 10.17516/1997-1397-2019-12-3-298-309
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/110231