A note on parabolic differential equations on manifold.

Authors :: Ashyralyev, Allaberen
Sozen, Yasar
Hezenci, Fatih
Cakalli, Huseyin
Kocinac, Ljubisa D. R.
Harte, Robin
Dik, Mehmet
Canak, Ibrahim
Kandemir, Hacer Sengul
Tez, Mujgan
Gurtug, Ozay
Savas, Ekrem
Akay, Kadri Ulas
Ucgun, Filiz Cagatay
Uyaver, Sahin
Ashyralyyev, Charyyar
Sezer, Sefa Anil
Turkoglu, Arap Duran
Onvural, Oruc Raif
Sahin, Hakan
Source :: AIP Conference Proceedings; 2020, Vol. 2334 Issue 1, p1-6, 6p
Publication Year :: 2020
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. [ABSTRACT FROM AUTHOR]