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On the Beltrami Equations with Two Characteristics

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The Beltrami Equation

Part of the book series: Developments in Mathematics ((DEVM,volume 26))

Abstract

The Beltrami equations of the first type

$$f_{\bar{z}} = \mu(z)f_{z}$$
(9.1.1)

is the basic equation for the theory of quasiconformalmapping in the complex plane; see, e.g., [9,30,44] and [152]. The well-known measurable mapping theorem solves the problem on the existence and uniqueness for the classical case.

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Gutlyanskii, V., Ryazanov, V., Srebro, U., Yakubov, E. (2012). On the Beltrami Equations with Two Characteristics. In: The Beltrami Equation. Developments in Mathematics, vol 26. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3191-6_9

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