Sezayi HIZLIYEL, Mehmet ÇAĞLIYAN

297

A boundary value problem for Bitsadze equation in matrix form

In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{if(z)w(z)\}=g1(z),Rew\overlinef(z)=g2(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 (\overline{D}), g1, g2 \in C(\partial D) and f is a generating solution for Q-holomorphic functions.
Anahtar Kelimeler:

Q-Holomorphic; Bitsadze equation

A boundary value problem for Bitsadze equation in matrix form

In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{if(z)w(z)\}=g1(z),Rew\overlinef(z)=g2(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 (\overline{D}), g1, g2 \in C(\partial D) and f is a generating solution for Q-holomorphic functions.
Keywords:

Q-Holomorphic; Bitsadze equation,

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  • Begehr, H.: Complex analytic method for partial differential equation, Singapore, World ScientiŞc 1994. [2] Begehr, H.: Elliptic second order equations. In: Functional analytic methods for partial differential equations (Eds.:
  • 554 (1999). [8] Begehr, H.: Hypercomplex Bitsadze systems. In: Boundary value problems, integral equations and related problems
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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