Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

Editorial Board: Aldroubi, Akram / Anker, Jean-Philippe / Aouadi, Saloua / Bahouri, Hajer / Baklouti, Ali / Bakry, Dominique / Baraket, Sami / Ben Abdelghani, Leila / Begehr, Heinrich / Beznea, Lucian / Bezzarga, Mounir / Bonami, Aline / Demailly, Jean-Pierre / Fleckinger, Jacqueline / Gallardo, Leonard / Ismail, Mourad / Jarboui, Noomen / Jouini, Elyes / Karoui, Abderrazek / Kamoun, Lotfi / Kobayashi, Toshiyuki / Maday, Yvon / Marzougui, Habib / Mili, Maher / Mustapha, Sami / Ovsienko, Valentin / Peigné, Marc / Pouzet, Maurice / Radulescu, Vicentiu / Schwartz, Lionel / Sifi, Mohamed / Zaag, Hatem / Zarati, Said

More options …

On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle

Makhmud A. Sadybekov / Batirkhan K. Turmetov / Berikbol T. Torebek
  • Institute of Mathematics and Mathematical Modelling MES RK, Pushkin Street 125, 050010 Almaty; and Al-Farabi Kazakh National University, Al-Farabi Street 71, 050040, Almaty, Kazakhstan
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2015-06-04 | DOI: https://doi.org/10.1515/apam-2015-0003

Abstract

The paper is devoted to investigation questions about constructing the explicit form of the Green's function of the Robin problem in the unit ball of ℝ2. In constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters the Green function is given in terms of elementary functions.

Keywords: Poisson equation; Robin problem; fundamental solution; Green's function; boundary value problems

MSC: 35J08; 31A30; 31A25

About the article

Received: 2015-01-22

Revised: 2015-05-10

Accepted: 2015-05-11

Published Online: 2015-06-04

Published in Print: 2015-07-01


Funding Source: Ministry of Science and Education of the Republic of Kazakhstan

Award identifier / Grant number: 0570/GF3


Citation Information: Advances in Pure and Applied Mathematics, Volume 6, Issue 3, Pages 163–172, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2015-0003.

Export Citation

© 2015 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
V. V. Karachik
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Number 1, Page 66
[2]
V. V. Karachik and B. Kh. Turmetov
Siberian Advances in Mathematics, 2019, Volume 29, Number 1, Page 32
[3]
V.V. Karachik
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2018, Volume 10, Number 4, Page 13
[4]
Valery Karachik
Complex Variables and Elliptic Equations, 2018, Page 1
[5]
M. A. Sadybekov, B. T. Torebek, and B. Kh. Turmetov
Siberian Mathematical Journal, 2017, Volume 58, Number 1, Page 153

Comments (0)

Please log in or register to comment.
Log in