The Problem of Determining of the Source Function and of the Leading Coefficient in the Many-dimensional Semilinear Parabolic Equation
View/ Open:
URI (for links/citations):
https://elib.sfu-kras.ru/handle/2311/141730Author:
Polyntseva, Svetlana V.
Spirina, Kira I.
Полынцева, Светлана В.
Спирина, Кира И.
Date:
2021Journal Name:
Журнал Сибирского федерального университета.Математика и физика.Journal of Siberian Federal University. Mathematics & Physics, 2021 14 (4)Abstract:
We consider the problem of determining the source function and the leading coefficient in a
multidimensional semilinear parabolic equation with overdetermination conditions given on two different
hypersurfaces. The existence and uniqueness theorem for the classical solution of the inverse problem in
the class of smooth bounded functions is proved. A condition is found for the dependence of the upper
bound of the time interval, in which there is a unique solution to the inverse problem, on the input data Рассматривается задача определения функции источника и коэффициента при второй производной по пространственной переменной в многомерном полулинейном параболическом
уравнении с условиями переопределения, заданными на двух различных гиперповерхностях. Доказана теорема существования и единственности классического решения обратной задачи в классе
гладких ограниченных функций. Найдено условие зависимости верхней границы временного отрезка, в котором существует и единственно решение обратной задачи, от входных данных
Collections:
Metadata:
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
Global Peace and the Problem of Perfection as a Problem of Universal Connection
Malinin, Alexander V.; Малинин, А.В. (Сибирский федеральный университет. Siberian Federal University, 2015-06)The paper is devoted to perfection as an important social and philosophical issue. The author argues that perfection is determined by the universal connection of phenomena in nature and in society. It is proved that a ... -
Freedom as a Problem of Legal Consciesness: Social and Philosophic Aspects of the Problem in the Global World
Efarkin, Anton A.; Ефаркин, А.А. (Сибирский федеральный университет. Siberian Federal University, 2015-06)Special aspects of freedom manifestation in the modern society are studied in the article. The author proves that it is closely connected to the level of legal awareness and involves socio-philosophical level of analysis. ... -
A problem decomposition approach for large-scale global optimization problems
Вахнин, Алексей Валерьевич; Сопов, Евгений Александрович; Панфилов, Илья Александрович; Полякова, Анастасия Сергеевна; Кустов, Денис Викторович (2019-06) -
A Priori Estimates of the Adjoint Problem Describing the Slow Flow of a Binary Mixture and a Fluid in a Channel
Andreev, Victor K.; Efimova, Marina V.; Андреев, Виктор К.; Ефимова, Марина В. (Сибирский федеральный университет. Siberian Federal University, 2018-08)We obtain a priori estimates of the solution in the uniform metric for a linear conjugate initial-boundary inverse problem describing the joint motion of a binary mixture and a viscous heat-conducting liquid in a plane ... -
A Nonlocal Boundary Value Problem with Constant Coefficients for the Multidimensional Second Order Equation of Mixed Type of the Second Kind
Dzhamalov, Sirojiddin Z.; Джамалов, Сирожиддин З. (Сибирский федеральный университет. Siberian Federal University, 2018-08)Multidimensional second order equation of the mixed type of the second kind is considered in the paper. Unique solvability and smoothness of the solution of a nonlocal boundary value problem with constant coefficients ...