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Zeitschrift für Analysis und ihre Anwendungen
Article . 1987 . Peer-reviewed
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A Priori Estimates or Elliptic Systems

A priori estimates for elliptic systems
Authors: Begehr, H.; Hsiao, G. C.;

A Priori Estimates or Elliptic Systems

Abstract

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.

Related Organizations
Keywords

representation, Beltrami equation, existence, Riemann-Hilbert problems in context of PDEs, A priori estimates, Riemann-Hilbert boundary value problem, uniqueness, A priori estimates in context of PDEs, Green and Neumann functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold