On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball
- Author
- Makhmud Sadybekov and Aishabibi Dukenbayeva
- Organization
- Abstract
- In this paper, we consider nonlocal boundary value problems for the Laplace operator in a ball, which are a multidimensional generalisation of the Samarskii-Ionkin problem. The well-posedness of the problems are investigated, and Fredholm property of the problems are studied. Moreover, we obtain integral representations of their solutions in explicit forms.
- Keywords
- Applied Mathematics, Analysis, Numerical Analysis, Computational Mathematics, Laplace operator, Poisson's equation, boundary value problem, nonlocal boundary value problem, Samarskii-Ionkin problem, SOLVABILITY, EQUATION
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8690739
- MLA
- Sadybekov, Makhmud, and Aishabibi Dukenbayeva. “On Boundary Value Problems of the Samarskii–Ionkin Type for the Laplace Operator in a Ball.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 2, 2022, pp. 369–83, doi:10.1080/17476933.2020.1828377.
- APA
- Sadybekov, M., & Dukenbayeva, A. (2022). On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 67(2), 369–383. https://doi.org/10.1080/17476933.2020.1828377
- Chicago author-date
- Sadybekov, Makhmud, and Aishabibi Dukenbayeva. 2022. “On Boundary Value Problems of the Samarskii–Ionkin Type for the Laplace Operator in a Ball.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (2): 369–83. https://doi.org/10.1080/17476933.2020.1828377.
- Chicago author-date (all authors)
- Sadybekov, Makhmud, and Aishabibi Dukenbayeva. 2022. “On Boundary Value Problems of the Samarskii–Ionkin Type for the Laplace Operator in a Ball.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (2): 369–383. doi:10.1080/17476933.2020.1828377.
- Vancouver
- 1.Sadybekov M, Dukenbayeva A. On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2022;67(2):369–83.
- IEEE
- [1]M. Sadybekov and A. Dukenbayeva, “On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 2, pp. 369–383, 2022.
@article{8690739,
abstract = {{In this paper, we consider nonlocal boundary value problems for the Laplace operator in a ball, which are a multidimensional generalisation of the Samarskii-Ionkin problem. The well-posedness of the problems are investigated, and Fredholm property of the problems are studied. Moreover, we obtain integral representations of their solutions in explicit forms.}},
author = {{Sadybekov, Makhmud and Dukenbayeva, Aishabibi}},
issn = {{1747-6933}},
journal = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}},
keywords = {{Applied Mathematics,Analysis,Numerical Analysis,Computational Mathematics,Laplace operator,Poisson's equation,boundary value problem,nonlocal boundary value problem,Samarskii-Ionkin problem,SOLVABILITY,EQUATION}},
language = {{eng}},
number = {{2}},
pages = {{369--383}},
title = {{On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball}},
url = {{http://doi.org/10.1080/17476933.2020.1828377}},
volume = {{67}},
year = {{2022}},
}
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