A Priori Estimates or Elliptic Systems

  • Heinrich Begehr

    Freie Universität Berlin, Germany
  • George C. Hsiao

    University of Delaware, Newark, USA


A priori estimates for the general complex Beltrami equation in connection with Riemann–Hilbert boundary conditions are developed, which can be used for existence as well as uniqueness statements for related nonlinear problems. For this reason the equation together with the boundary conditions are transformed into the canonical form and essentially a representation formula originally given by Haack-Wendland is used.

Cite this article

Heinrich Begehr, George C. Hsiao, A Priori Estimates or Elliptic Systems. Z. Anal. Anwend. 6 (1987), no. 1, pp. 1–21

DOI 10.4171/ZAA/224