A Note on Evolution Equation on Manifold

In the present paper, considering the differential equations on smooth closed manifolds, we investigate and establish the well-posedness of boundary value problems nonlocal type for parabolic equations and also hyperbolic equations in Hölder spaces. Furthermore, in various Hölder norms we establish new coercivity estimates for the solutions of such type parabolic boundary value problems on manifolds and hyperbolic boundary value problems on manifolds as well. © 2021, University of Nis. All rights reserved.

Authors
Ashyralyev A. 1, 2, 3 , Sozen Y.4 , Hezenci F.5
Journal
Filomat
Publisher
University of Nis
Number of issue
15
Language
English
Pages
5031-5043
Status
Published
Link
External link
DOI
10.2298/FIL2115031A
Volume
35
Year
2021
Organizations
  • 1 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Hacettepe University, Department of Mathematics, Ankara, 06800, Turkey
  • 5 Duzce University, Department of Mathematics, Duzce, 81620, Turkey
Keywords
Differential equations on manifolds; Self-adjoint positive definite operator; Well-posedness
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84518/
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