Elliptic systems and quasiconformal mappings
著者
書誌事項
Elliptic systems and quasiconformal mappings
（Pure and applied mathematics）
Wiley, 1988
- タイトル別名
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Quasikonforme Abbildungen und elliptische Systeme erster Ordnung in der Ebene
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注記
Revised translation of: Quasikonforme Abbildungen und elliptische Systeme erster Ordnung in der Ebene
"A Wiley-Interscience publication"
Bibliography: p. [141]-143
Includes index
内容説明・目次
内容説明
The primary aim of this text is to provide an explanation of those first order elliptic systems of partial differentiation equations in the plane whose solutions consist of the composition of an analytic function with a quasiconformal mapping. The text begins with an introductory chapter which covers necessary results on generalized derivatives, singular integral operators and other areas of analysis and measure theory. Explanations are then provided for such topics as the Bers-Nirenberg representation theorem, fundamental solutions, additional representation formulae, asymptotic developments in zeros and poles, generalized Cauchy, Schwarz and Poisson formulae, jump relations for generalized Cauchy integrals and variational methods for Schlicht solutions.
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