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The Stability of the Riemann Boundary Value Problem for Vector Valued M-Analytic Functions

  • Chuan-Gan Hu
  • Dan-Ping Zhang
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 2)

Abstract

In this paper, certain boundary value problems are solved in a Banach space which is defined by vector-valued regular solutions of the systemm f x + M f y = 0 of elliptic partial differential equations, where M is a constant m × m matrix without real eigenvalues and f is an m × q matrix. The properties of the integral of Cauchy type for vector-valued M-analytic functions are discussed. Next, the representation of the solutions of the Riemann boundary value problem and its pertubed problem for vector-valued M-analytic functions are presented.

Keywords

Singular Integral Equation Finite Order Polynomial Matrix Elliptic Partial Differential Equation Cauchy Type 
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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Chuan-Gan Hu
    • 1
  • Dan-Ping Zhang
    • 2
  1. 1.Department of MathematicsNankai UniversityTianjinChina
  2. 2.Research Section of MathematicsBeijing Institute of Machinery IndustryBeijingChina

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