Title :
The Hilbert Boundary Value Problem for Beltrami Equation in Clifford Analysis
Author :
Si Zhongwei ; Liang Lina ; Ai Zhenghai ; Jiang Zhihua
Author_Institution :
Sch. of Math. & Inf. Sci., Leshan Normal Univ., Leshan, China
Abstract :
In this paper, we firstly give the fundamental solution for Beltrami equation. Secondly, based on symmetric extension, we investigate the solution of a Hilbert Boundary Value Problem (BVP, for short) for Beltrami equation by converting it to corresponding Riemann BVP and obtain the explicit representation of solutions.
Keywords :
boundary-value problems; Beltrami equation; Clifford analysis; Hilbert boundary value problem; Riemann BVP; Algebra; Boundary conditions; Educational institutions; Equations; Physics; Beltrami equation; Hμ function; Hilbert BVP; Riemann BVP;
Conference_Titel :
Computational Intelligence and Security (CIS), 2014 Tenth International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4799-7433-7
DOI :
10.1109/CIS.2014.17
