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Zeitschrift für Analysis und ihre Anwendungen

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Volume 6, Issue 1, 1987, pp. 1–21
DOI: 10.4171/ZAA/224

Published online: 1987-02-28

A Priori Estimates or Elliptic Systems

Heinrich Begehr[1] and George C. Hsiao[2]

(1) Freie Universität Berlin, Germany
(2) 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.

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Begehr Heinrich, Hsiao George: A Priori Estimates or Elliptic Systems. Z. Anal. Anwend. 6 (1987), 1-21. doi: 10.4171/ZAA/224