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Complex Analytic Methods for Partial Differential Equations
Heinrich G. W. Begehr
其他書名
An Introductory Text
出版World Scientific, 1994
主題Mathematics / Differential Equations / GeneralMathematics / General
ISBN98102155099789810215507
URLhttp://books.google.com.hk/books?id=qxZ6zzSE3VEC&hl=&source=gbs_api
EBookSAMPLE
註釋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 Poincar‚ 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.