Boundary value problems and method of reflection for quarter ring and half hexagon

B. Shupeyeva

doi:10.1007/978-3-319-12577-0_9

Boundary value problems and method of reflection for quarter ring and half hexagon

B. Shupeyeva

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

On basis of the reflection principle, the boundary value problems of Schwarz, Dirichlet and Neumann type are explicitly solved for two irregular domains.

Original language	English
Title of host publication	Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013
Editors	Vladimir V. Mityushev, Michael V. Ruzhansky
Publisher	Springer International Publishing
Pages	59-66
Number of pages	8
ISBN (Print)	9783319125763
DOIs	https://doi.org/10.1007/978-3-319-12577-0_9
Publication status	Published - 2015
Event	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 - Krakow, Poland Duration: Aug 5 2013 → Aug 9 2013

Publication series

Name	Trends in Mathematics
Volume	2
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Other

Other	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013
Country	Poland
City	Krakow
Period	8/5/13 → 8/9/13

Keywords

Dirichlet
Green function
Half hexagon
Neumann
Quarter ring
Schwarz

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-12577-0_9

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Cite this

Shupeyeva, B. (2015). Boundary value problems and method of reflection for quarter ring and half hexagon. In V. V. Mityushev, & M. V. Ruzhansky (Eds.), Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013 (pp. 59-66). (Trends in Mathematics; Vol. 2). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_9

Boundary value problems and method of reflection for quarter ring and half hexagon. / Shupeyeva, B.

Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. ed. / Vladimir V. Mityushev; Michael V. Ruzhansky. Springer International Publishing, 2015. p. 59-66 (Trends in Mathematics; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Shupeyeva, B 2015, Boundary value problems and method of reflection for quarter ring and half hexagon. in VV Mityushev & MV Ruzhansky (eds), Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. Trends in Mathematics, vol. 2, Springer International Publishing, pp. 59-66, 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013, Krakow, Poland, 8/5/13. https://doi.org/10.1007/978-3-319-12577-0_9

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abstract = "On basis of the reflection principle, the boundary value problems of Schwarz, Dirichlet and Neumann type are explicitly solved for two irregular domains.",

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