Complex Analytic Methods For Partial Differential Equations: An Introductory Text

Know about the book -

Complex Analytic Methods For Partial Differential Equations: An Introductory Text is written by Heinrich G W Begehr and published by World Scientific Publishing Company. It's available with International Standard Book Number or ISBN identification 9813104686 (ISBN 10) and 9789813104686 (ISBN 13).

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 Poincaré 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.