A note on parabolic differential equations on manifold

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. © 2021 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. 1, 2, 3 , Sozen Y.4 , Hezenci F.5
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0042762
Number
060003
Volume
2334
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, 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 Department of Mathematics, Hacettepe University, Beytepe, Ankara, 06800, Turkey
  • 5 Department of Mathematics, Duzce University, Konuralp, Duzce, 81620, Turkey
Keywords
Differential equations on manifolds; Self-adjoint positive definite operator; Well-posedness
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