A Note on Evolution Equation on Manifold

Allaberen Ashyralyev; Yasar Sozen; Fatih Hezenci

doi:10.2298/FIL2115031A

A Note on Evolution Equation on Manifold

Allaberen Ashyralyev
, Yasar Sozen
, Fatih Hezenci

Division of Topology

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	5031-5043
Number of pages	13
Journal	Filomat
Volume	35
Issue number	15
DOIs	https://doi.org/10.2298/FIL2115031A
Publication status	Published - 2021

Keywords

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

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10.2298/FIL2115031A

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title = "A Note on Evolution Equation on Manifold",

abstract = "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 H{\"o}lder spaces. Furthermore, in various H{\"o}lder 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.",

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

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

year = "2021",

doi = "10.2298/FIL2115031A",

language = "English",

volume = "35",

pages = "5031--5043",

journal = "Filomat",

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publisher = "University of Nis",

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T1 - A Note on Evolution Equation on Manifold

AU - Ashyralyev, Allaberen

AU - Sozen, Yasar

AU - Hezenci, Fatih

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Differential equations on manifolds

KW - Self-adjoint positive definite operator

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85126331923

U2 - 10.2298/FIL2115031A

DO - 10.2298/FIL2115031A

M3 - Article

AN - SCOPUS:85126331923

SN - 0354-5180

VL - 35

SP - 5031

EP - 5043

JO - Filomat

JF - Filomat

IS - 15

ER -

A Note on Evolution Equation on Manifold

Abstract

Keywords

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