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Complex Analytic Methods for Partial Differential Equations: An Introductory Text



By: Heinrich G. W. Begehr (Author)

Language: English

Genre: Science Nature

Publisher: World Scientific Publishing Co Pte Ltd: Unabridged. edition (28 Jun. 1994)

Format: pdf doc docx mobi djvu epub ibooks (*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.)

The original title of the book: Complex Analytic Methods for Partial Differential Equations: An Introductory Text

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincare problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems: the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

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