Geodesic
A note on evolution equation on manifold
Filomat, Tome 35 (2021) no. 15, p. 5031

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DOI

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
DOI : 10.2298/FIL2115031A
Classification : 58Jxx, 58J32, 58J99
Keywords: Differential equations on manifolds, well-posedness, self-adjoint positive definite operator 
Allaberen Ashyralyev; Yasar Sozen; Fatih Hezenci. A note on evolution equation on manifold. Filomat, Tome 35 (2021) no. 15, p. 5031 . doi: 10.2298/FIL2115031A
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     author = {Allaberen Ashyralyev and Yasar Sozen and Fatih Hezenci},
     title = {A note on evolution equation on manifold},
     journal = {Filomat},
     pages = {5031 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115031A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115031A/}
}
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