On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data
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http://journal.sfu-kras.ru/article/110231https://elib.sfu-kras.ru/handle/2311/128535
Author:
Igor V. Frolenkov
Irina S. Antipina
Natalya M. Terskikh
Corporate Contributor:
Институт математики и фундаментальной информатики
Кафедра математического анализа и дифференциальных уравнений
Date:
2019Journal Name:
Journal of Siberian Federal University - Mathematics and PhysicsJournal Quartile in Scopus:
Q3Journal Quartile in Web of Science:
без квартиляBibliographic Citation:
Igor V. Frolenkov. On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data [Текст] / Igor V. Frolenkov, Irina S. Antipina, Natalya M. Terskikh // Journal of Siberian Federal University - Mathematics and Physics: Mathematics and Physics. — 2019. — Т. 12 (№ 3). — С. 298-309Abstract:
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.
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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
Frolenkov, Igor V.; Antipina, Irina S.; Terskikh, Natalya M.; Фроленков, Игорь В.; Антипина, Ирина С.; Терских, Наталья М. (Сибирский федеральный университет. Siberian Federal University, 2019-06)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 -
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Frolenkov, Igor V.; Darzhaa, Maria A.; Фроленков, Игорь В.; Даржаа, Мария А. (Сибирский федеральный университет. Siberian Federal University., 2014-04)Two problems are considered in this paper. First problem is the Cauchy problem for a two-dimensional loaded parabolic equation with coefficients dependent on unknown function and its derivatives. Second problem is the ... -
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