Pointwise estimates for polyharmonic green's function in balls

Galiya Myrzabayeva; Durvudkhan Suragan

doi:10.1063/5.0175199

Pointwise estimates for polyharmonic green's function in balls

Galiya Myrzabayeva, Durvudkhan Suragan

School of Sciences and Humanities

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

Abstract

In this note we give a short and simple proof for pointwise estimates for polyharmonic Green's functions in balls. We discuss Problem 32 from Maz'ya's article "Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations"when the considered domain is a ball with an arbitrary radius.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Gurtug Ozay, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgun, Charyyar Ashyralyyev, Kadri Ulas Akay
Publisher	American Institute of Physics Inc.
Edition	1
ISBN (Electronic)	9780735446953
DOIs	https://doi.org/10.1063/5.0175199
Publication status	Published - Oct 9 2023
Event	6th International Conference of Mathematical Sciences, ICMS 2022 - Hybrid, Istanbul, Turkey Duration: Jul 20 2022 → Jul 24 2022

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	2879
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	6th International Conference of Mathematical Sciences, ICMS 2022
Country/Territory	Turkey
City	Hybrid, Istanbul
Period	7/20/22 → 7/24/22

ASJC Scopus subject areas

General Physics and Astronomy

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10.1063/5.0175199

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Myrzabayeva, G., & Suragan, D. (2023). Pointwise estimates for polyharmonic green's function in balls. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, G. Ozay, E. Savas, N. D. Aral, F. C. Ucgun, C. Ashyralyyev, & K. U. Akay (Eds.), AIP Conference Proceedings (1 ed.). Article 030002 (AIP Conference Proceedings; Vol. 2879, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0175199

Pointwise estimates for polyharmonic green's function in balls. / Myrzabayeva, Galiya; Suragan, Durvudkhan.
AIP Conference Proceedings. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Allaberen Ashyralyev; Robin Harte; Mehmet Dik; Ibrahim Canak; Hacer Sengul Kandemir; Mujgan Tez; Gurtug Ozay; Ekrem Savas; Nazlim Deniz Aral; Filiz Cagatay Ucgun; Charyyar Ashyralyyev; Kadri Ulas Akay. 1. ed. American Institute of Physics Inc., 2023. 030002 (AIP Conference Proceedings; Vol. 2879, No. 1).

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

Myrzabayeva, G & Suragan, D 2023, Pointwise estimates for polyharmonic green's function in balls. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, G Ozay, E Savas, ND Aral, FC Ucgun, C Ashyralyyev & KU Akay (eds), AIP Conference Proceedings. 1 edn, 030002, AIP Conference Proceedings, no. 1, vol. 2879, American Institute of Physics Inc., 6th International Conference of Mathematical Sciences, ICMS 2022, Hybrid, Istanbul, Turkey, 7/20/22. https://doi.org/10.1063/5.0175199

Myrzabayeva G, Suragan D. Pointwise estimates for polyharmonic green's function in balls. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Ozay G, Savas E, Aral ND, Ucgun FC, Ashyralyyev C, Akay KU, editors, AIP Conference Proceedings. 1 ed. American Institute of Physics Inc. 2023. 030002. (AIP Conference Proceedings; 1). doi: 10.1063/5.0175199

Myrzabayeva, Galiya ; Suragan, Durvudkhan. / Pointwise estimates for polyharmonic green's function in balls. AIP Conference Proceedings. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Allaberen Ashyralyev ; Robin Harte ; Mehmet Dik ; Ibrahim Canak ; Hacer Sengul Kandemir ; Mujgan Tez ; Gurtug Ozay ; Ekrem Savas ; Nazlim Deniz Aral ; Filiz Cagatay Ucgun ; Charyyar Ashyralyyev ; Kadri Ulas Akay. 1. ed. American Institute of Physics Inc., 2023. (AIP Conference Proceedings; 1).

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Pointwise estimates for polyharmonic green's function in balls

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