A note on parabolic differential equations on manifold

Allaberen Ashyralyev; Yasar Sozen; Fatih Hezenci

doi:10.1063/5.0042762

A note on parabolic differential equations on manifold

Allaberen Ashyralyev
, Yasar Sozen
, Fatih Hezenci

Division of Topology

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

1 Citation (Scopus)

Abstract

The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the well-posedness of nonlocal boundary value problems (NBVP) in Hölder spaces. It also establishes new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for parabolic equations.

Original language	English
Title of host publication	4th International Conference of Mathematical Sciences, ICMS 2020
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Ozay Gurtug, Ekrem Savas, Kadri Ulas Akay, Sahin Uyaver, Charyyar Ashyralyyev, Sefa Anil Sezer, Arap Duran Turkoglu, Oruc Raif Onvural, Hakan Sahin, Filiz Cagatay Ucgun
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735440784
DOIs	https://doi.org/10.1063/5.0042762
Publication status	Published - 2 Mar 2021
Event	4th International Conference of Mathematical Sciences, ICMS 2020 - Istanbul, Turkey Duration: 17 Jun 2020 → 21 Jun 2020

Publication series

Name	AIP Conference Proceedings
Volume	2334
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th International Conference of Mathematical Sciences, ICMS 2020
Country/Territory	Turkey
City	Istanbul
Period	17/06/20 → 21/06/20

Keywords

Differential equations on manifolds
Self-adjoint positive definite operator
Well-posedness

Access to Document

10.1063/5.0042762

Cite this

Ashyralyev, A., Sozen, Y., & Hezenci, F. (2021). A note on parabolic differential equations on manifold. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, O. Gurtug, E. Savas, K. U. Akay, S. Uyaver, C. Ashyralyyev, S. A. Sezer, A. D. Turkoglu, O. R. Onvural, H. Sahin, & F. C. Ucgun (Eds.), 4th International Conference of Mathematical Sciences, ICMS 2020 Article 060003 (AIP Conference Proceedings; Vol. 2334). American Institute of Physics Inc.. https://doi.org/10.1063/5.0042762

Ashyralyev, Allaberen ; Sozen, Yasar ; Hezenci, Fatih. / A note on parabolic differential equations on manifold. 4th International Conference of Mathematical Sciences, ICMS 2020. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Allaberen Ashyralyev ; Robin Harte ; Mehmet Dik ; Ibrahim Canak ; Hacer Sengul Kandemir ; Mujgan Tez ; Ozay Gurtug ; Ekrem Savas ; Kadri Ulas Akay ; Sahin Uyaver ; Charyyar Ashyralyyev ; Sefa Anil Sezer ; Arap Duran Turkoglu ; Oruc Raif Onvural ; Hakan Sahin ; Filiz Cagatay Ucgun. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

@inproceedings{695d8435d9d54986bca366b1fc018ca5,

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

abstract = "The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the well-posedness of nonlocal boundary value problems (NBVP) in H{\"o}lder spaces. It also establishes new coercivity estimates in various H{\"o}lder norms for the solutions of such boundary value problems for parabolic equations.",

keywords = "Differential equations on manifolds, Self-adjoint positive definite operator, Well-posedness",

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

note = "Publisher Copyright: {\textcopyright} 2021 American Institute of Physics Inc.. All rights reserved.; 4th International Conference of Mathematical Sciences, ICMS 2020 ; Conference date: 17-06-2020 Through 21-06-2020",

year = "2021",

month = mar,

day = "2",

doi = "10.1063/5.0042762",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, \{Ljubisa D. R.\} and Allaberen Ashyralyev and Robin Harte and Mehmet Dik and Ibrahim Canak and Kandemir, \{Hacer Sengul\} and Mujgan Tez and Ozay Gurtug and Ekrem Savas and Akay, \{Kadri Ulas\} and Sahin Uyaver and Charyyar Ashyralyyev and Sezer, \{Sefa Anil\} and Turkoglu, \{Arap Duran\} and Onvural, \{Oruc Raif\} and Hakan Sahin and Ucgun, \{Filiz Cagatay\}",

booktitle = "4th International Conference of Mathematical Sciences, ICMS 2020",

}

Ashyralyev, A, Sozen, Y & Hezenci, F 2021, A note on parabolic differential equations on manifold. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, O Gurtug, E Savas, KU Akay, S Uyaver, C Ashyralyyev, SA Sezer, AD Turkoglu, OR Onvural, H Sahin & FC Ucgun (eds), 4th International Conference of Mathematical Sciences, ICMS 2020., 060003, AIP Conference Proceedings, vol. 2334, American Institute of Physics Inc., 4th International Conference of Mathematical Sciences, ICMS 2020, Istanbul, Turkey, 17/06/20. https://doi.org/10.1063/5.0042762

A note on parabolic differential equations on manifold. / Ashyralyev, Allaberen; Sozen, Yasar; Hezenci, Fatih.
4th International Conference of Mathematical Sciences, ICMS 2020. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Allaberen Ashyralyev; Robin Harte; Mehmet Dik; Ibrahim Canak; Hacer Sengul Kandemir; Mujgan Tez; Ozay Gurtug; Ekrem Savas; Kadri Ulas Akay; Sahin Uyaver; Charyyar Ashyralyyev; Sefa Anil Sezer; Arap Duran Turkoglu; Oruc Raif Onvural; Hakan Sahin; Filiz Cagatay Ucgun. American Institute of Physics Inc., 2021. 060003 (AIP Conference Proceedings; Vol. 2334).

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

TY - GEN

T1 - A note on parabolic differential equations on manifold

AU - Ashyralyev, Allaberen

AU - Sozen, Yasar

AU - Hezenci, Fatih

PY - 2021/3/2

Y1 - 2021/3/2

N2 - The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the well-posedness of nonlocal boundary value problems (NBVP) in Hölder spaces. It also establishes new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for parabolic equations.

AB - The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the well-posedness of nonlocal boundary value problems (NBVP) in Hölder spaces. It also establishes new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for parabolic equations.

KW - Differential equations on manifolds

KW - Self-adjoint positive definite operator

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85102243121

U2 - 10.1063/5.0042762

DO - 10.1063/5.0042762

M3 - Conference contribution

AN - SCOPUS:85102243121

T3 - AIP Conference Proceedings

BT - 4th International Conference of Mathematical Sciences, ICMS 2020

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Ashyralyev, Allaberen

A2 - Harte, Robin

A2 - Dik, Mehmet

A2 - Canak, Ibrahim

A2 - Kandemir, Hacer Sengul

A2 - Tez, Mujgan

A2 - Gurtug, Ozay

A2 - Savas, Ekrem

A2 - Akay, Kadri Ulas

A2 - Uyaver, Sahin

A2 - Ashyralyyev, Charyyar

A2 - Sezer, Sefa Anil

A2 - Turkoglu, Arap Duran

A2 - Onvural, Oruc Raif

A2 - Sahin, Hakan

A2 - Ucgun, Filiz Cagatay

PB - American Institute of Physics Inc.

T2 - 4th International Conference of Mathematical Sciences, ICMS 2020

Y2 - 17 June 2020 through 21 June 2020

ER -

Ashyralyev A, Sozen Y, Hezenci F. A note on parabolic differential equations on manifold. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Gurtug O, Savas E, Akay KU, Uyaver S, Ashyralyyev C, Sezer SA, Turkoglu AD, Onvural OR, Sahin H, Ucgun FC, editors, 4th International Conference of Mathematical Sciences, ICMS 2020. American Institute of Physics Inc. 2021. 060003. (AIP Conference Proceedings). doi: 10.1063/5.0042762

A note on parabolic differential equations on manifold

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