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

doi:10.17516/1997-1397-2019-12-3-298-309

Автор:

Igor V. Frolenkov

Irina S. Antipina

Natalya M. Terskikh

Коллективный автор:

Институт математики и фундаментальной информатики

Кафедра математического анализа и дифференциальных уравнений

Дата:

2019

Журнал:

Journal of Siberian Federal University - Mathematics and Physics

Квартиль журнала в Scopus:

Квартиль журнала в Web of Science:

без квартиля

Библиографическое описание:

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. 298-309

Аннотация:

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.

Коллекции:

Статьи в научных журналах (эффективный контракт) [5211]

Метаданные:

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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

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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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