The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics

The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions...

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Main Author: Anatoly Alievich Alikhanov
Format: Article
Language:English
Published: Samara State Technical University 2013-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/34689/23040
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author Anatoly Alievich Alikhanov
author_facet Anatoly Alievich Alikhanov
author_sort Anatoly Alievich Alikhanov
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description The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.
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spelling doaj.art-42e3e9dee7194ab9875b846229438c1a2022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-01171152310.14498/vsgtu121831202The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physicsAnatoly Alievich Alikhanov0Kabardino-Balkar State UniversityThe Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.https://journals.eco-vector.com/1991-8615/article/viewFile/34689/23040nonlocal boundary value problemequations of mathematical physicsa priori estimates for solutions
spellingShingle Anatoly Alievich Alikhanov
The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
nonlocal boundary value problem
equations of mathematical physics
a priori estimates for solutions
title The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
title_full The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
title_fullStr The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
title_full_unstemmed The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
title_short The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
title_sort steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
topic nonlocal boundary value problem
equations of mathematical physics
a priori estimates for solutions
url https://journals.eco-vector.com/1991-8615/article/viewFile/34689/23040
work_keys_str_mv AT anatolyalievichalikhanov thesteklovnonlocalboundaryvalueproblemofthesecondkindforthesimplestequationsofmathematicalphysics
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