Work

Riemann-Hilbert problems for monogenic functions in axially symmetric domains

Year: 2016

Type: article

Abstract: We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of $(\mathcal{D}-\alpha)\phi=0$ , $\alpha\in\mathbb{R}$ , where $\mathbb{R}$ denotes the field of real numbers.

Source: Boundary Value Problems

DOI: 10.1186/s13661-016-0530-x

Authors: Fuli He, Min Ku, Uwe Kähler, Frank Sommen, Swanhild Bernstein

Institutions: Central South University, University of Aveiro, Ghent University, TU Bergakademie Freiberg

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funders: Center for Research and Development in Mathematics and Applications, Fundação para a Ciência e a Tecnologia