On bitsadze-samarskii type elliptic differential problems on hyperbolic plane

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Publications Ltd.

Access Rights

info:eu-repo/semantics/openAccess

Abstract

In the present article, we consider nonlocal boundary value problems (NBVP) of elliptic type on relatively compact domains in the hyperbolic plane. We establish the wellposedness of Neumann-Bitsadze-Samarskii type and also Dirichlet-Bitsadze-Samarskii type on such domains. Furthermore, we establish new coercivity inequalities for solutions of such elliptic NBVP on relatively compact domains in the hyperbolic plane with various H¨older norms. © 2021

Description

Keywords

differential equations on manifolds, hyperbolic plane, self-adjoint positive definite operator, well-posedness

Journal or Series

International Journal of Applied Mathematics

WoS Q Value

Scopus Q Value

Q3

Volume

34

Issue

2

Citation