A note on hyperbolic differential equations on manifold

Allaberen Ashyralyev; Yasar Sozen; Fatihr Hezenci

doi:10.1063/5.0040554

A note on hyperbolic differential equations on manifold

Allaberen Ashyralyev
, Yasar Sozen
, Fatihr Hezenci

Division of Topology

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

1 Citation (Scopus)

Abstract

In this extended abstract, considering the differential equations on hyperbolic plane, we investigate and establish the well-posedness of boundary value problem for hyperbolic equations in Hölder spaces. Furthermore, we establish new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for hyperbolic equations.

Original language	English
Title of host publication	International Conference on Analysis and Applied Mathematics, ICAAM 2020
Editors	Allaberen Ashyralyev, Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashralyyev, Abdullah S. Erdogan, Alexey Lukashov, Alexey Lukashov, Makhmud Sadybekov
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735440692
DOIs	https://doi.org/10.1063/5.0040554
Publication status	Published - 9 Feb 2021
Event	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020 - Mersin, Turkey Duration: 23 Sept 2020 → 30 Sept 2020

Publication series

Name	AIP Conference Proceedings
Volume	2325
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020
Country/Territory	Turkey
City	Mersin
Period	23/09/20 → 30/09/20

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10.1063/5.0040554

Cite this

Ashyralyev, A., Sozen, Y., & Hezenci, F. (2021). A note on hyperbolic differential equations on manifold. In A. Ashyralyev, A. Ashyralyev, A. Ashyralyev, C. Ashralyyev, A. S. Erdogan, A. Lukashov, A. Lukashov, & M. Sadybekov (Eds.), International Conference on Analysis and Applied Mathematics, ICAAM 2020 Article 020012 (AIP Conference Proceedings; Vol. 2325). American Institute of Physics Inc.. https://doi.org/10.1063/5.0040554

Ashyralyev, Allaberen ; Sozen, Yasar ; Hezenci, Fatihr. / A note on hyperbolic differential equations on manifold. International Conference on Analysis and Applied Mathematics, ICAAM 2020. editor / Allaberen Ashyralyev ; Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashralyyev ; Abdullah S. Erdogan ; Alexey Lukashov ; Alexey Lukashov ; Makhmud Sadybekov. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

@inproceedings{691ce0ed43cd4276ba9aad856c8e04e8,

title = "A note on hyperbolic differential equations on manifold",

abstract = "In this extended abstract, considering the differential equations on hyperbolic plane, we investigate and establish the well-posedness of boundary value problem for hyperbolic equations in H{\"o}lder spaces. Furthermore, we establish new coercivity estimates in various H{\"o}lder norms for the solutions of such boundary value problems for hyperbolic equations.",

author = "Allaberen Ashyralyev and Yasar Sozen and Fatihr Hezenci",

note = "Publisher Copyright: {\textcopyright} 2021 Author(s).; 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020 ; Conference date: 23-09-2020 Through 30-09-2020",

year = "2021",

month = feb,

day = "9",

doi = "10.1063/5.0040554",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Allaberen Ashyralyev and Allaberen Ashyralyev and Allaberen Ashyralyev and Charyyar Ashralyyev and Erdogan, \{Abdullah S.\} and Alexey Lukashov and Alexey Lukashov and Makhmud Sadybekov",

booktitle = "International Conference on Analysis and Applied Mathematics, ICAAM 2020",

}

Ashyralyev, A, Sozen, Y & Hezenci, F 2021, A note on hyperbolic differential equations on manifold. in A Ashyralyev, A Ashyralyev, A Ashyralyev, C Ashralyyev, AS Erdogan, A Lukashov, A Lukashov & M Sadybekov (eds), International Conference on Analysis and Applied Mathematics, ICAAM 2020., 020012, AIP Conference Proceedings, vol. 2325, American Institute of Physics Inc., 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Turkey, 23/09/20. https://doi.org/10.1063/5.0040554

A note on hyperbolic differential equations on manifold. / Ashyralyev, Allaberen; Sozen, Yasar; Hezenci, Fatihr.
International Conference on Analysis and Applied Mathematics, ICAAM 2020. ed. / Allaberen Ashyralyev; Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashralyyev; Abdullah S. Erdogan; Alexey Lukashov; Alexey Lukashov; Makhmud Sadybekov. American Institute of Physics Inc., 2021. 020012 (AIP Conference Proceedings; Vol. 2325).

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

TY - GEN

T1 - A note on hyperbolic differential equations on manifold

AU - Ashyralyev, Allaberen

AU - Sozen, Yasar

AU - Hezenci, Fatihr

PY - 2021/2/9

Y1 - 2021/2/9

N2 - In this extended abstract, considering the differential equations on hyperbolic plane, we investigate and establish the well-posedness of boundary value problem for hyperbolic equations in Hölder spaces. Furthermore, we establish new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for hyperbolic equations.

AB - In this extended abstract, considering the differential equations on hyperbolic plane, we investigate and establish the well-posedness of boundary value problem for hyperbolic equations in Hölder spaces. Furthermore, we establish new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for hyperbolic equations.

UR - https://www.scopus.com/pages/publications/85101605954

U2 - 10.1063/5.0040554

DO - 10.1063/5.0040554

M3 - Conference contribution

AN - SCOPUS:85101605954

T3 - AIP Conference Proceedings

BT - International Conference on Analysis and Applied Mathematics, ICAAM 2020

A2 - Ashyralyev, Allaberen

A2 - Ashralyyev, Charyyar

A2 - Erdogan, Abdullah S.

A2 - Lukashov, Alexey

A2 - Sadybekov, Makhmud

PB - American Institute of Physics Inc.

T2 - 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020

Y2 - 23 September 2020 through 30 September 2020

ER -

Ashyralyev A, Sozen Y, Hezenci F. A note on hyperbolic differential equations on manifold. In Ashyralyev A, Ashyralyev A, Ashyralyev A, Ashralyyev C, Erdogan AS, Lukashov A, Lukashov A, Sadybekov M, editors, International Conference on Analysis and Applied Mathematics, ICAAM 2020. American Institute of Physics Inc. 2021. 020012. (AIP Conference Proceedings). doi: 10.1063/5.0040554

A note on hyperbolic differential equations on manifold

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