A boundary value problem for Bitsadze equation in matrix form

Authors : Sezayi HIZLIYEL, Mehmet ÇAĞLIYAN

Pages : 29-46

View : 11 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{ifinsert ignore into journalissuearticles values(z);winsert ignore into journalissuearticles values(z);\}=g1insert ignore into journalissuearticles values(z);,Rew\overlinefinsert ignore into journalissuearticles values(z);=g2insert ignore into journalissuearticles values(z); z \in \partial D in the unit disk of complex plane. Here f , g1 and g2 are given m \times s-complex matrix-valued functions; f\in Lp insert ignore into journalissuearticles values(\overline{D});, g1, g2 \in Cinsert ignore into journalissuearticles values(\partial D); and f is a generating solution for Q-holomorphic functions.
Keywords : Q Holomorphic, Bitsadze equation