Complex Analytic Methods For Partial Differential Equations


Complex Analytic Methods For Partial Differential Equations
Author: Heinrich G. W. Begehr
Publisher: World Scientific
ISBN: 9789810215507
Size: 46.69 MB
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Complex Analytic Methods For Partial Differential Equations

eBook File: Complex-analytic-methods-for-partial-differential-equations.PDF Book by Heinrich G. W. Begehr, Complex Analytic Methods For Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Complex Analytic Methods For Partial Differential Equations books, 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.


Complex Analytic Methods for Partial Differential Equations
Language: en
Pages: 273
Authors: Heinrich G. W. Begehr
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: World Scientific
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,
Complex Methods for Partial Differential Equations
Language: en
Pages: 334
Authors: Heinrich Begehr, A. Okay Celebi, W. Tutschke
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media
This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech
Methods of Complex Analysis in Partial Differential Equations with Applications
Language: en
Pages: 394
Authors: Manfred Wilhelm Kracht, Manfred Kracht, Erwin Kreyszig
Categories: Differential equations, Partial
Type: BOOK - Published: 1988 - Publisher: New York ; Toronto : Wiley
This book is devoted to the development of complex function theoretic methods in partial differential equations and to the study of analytic behaviour of solutions. It presents basic facts of the subject and includes recent results, emphasizing the method of integral operators and the method of differential operators. The first
Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations
Language: en
Pages: 379
Authors: Ali Seif Mshimba, Wolfgang Tutschke
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher: World Scientific Publishing Company Incorporated
Books about Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations
Partial Differential and Integral Equations
Language: en
Pages: 369
Authors: Heinrich Begehr, R.P. Gilbert, Wen-Chung Guo
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Springer Science & Business Media
Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Language: en
Pages: 300
Authors: Bert-Wolfgang Schulze, M. W. Wong
Categories: Mathematics
Type: BOOK - Published: 2010-03-01 - Publisher: Springer Science & Business Media
Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.
Partial Differential Equations 2
Language: en
Pages: 392
Authors: Friedrich Sauvigny
Categories: Mathematics
Type: BOOK - Published: 2006-10-11 - Publisher: Springer Science & Business Media
This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Emphasis is placed on the connection of PDEs and complex variable methods. This second volume addresses Solvability of operator equations in Banach spaces; Linear operators
Linear Differential Equations in the Complex Domain
Language: en
Pages: 267
Authors: Yasutaka Sibuya
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher: American Mathematical Soc.
Research in differential equations is usually oriented toward explicit results and motivated by applications. Many clever methods have been discovered in this way, but, when problems of more fundamental difficulty arise, researchers must find something intrinsic in the mathematics itself in order to make progress. As research in topology, algebraic
Function Theoretic Methods in Partial Differential Equations
Language: en
Pages: 310
Authors: Gilbert
Categories: Computers
Type: BOOK - Published: 1969 - Publisher: Academic Press
Function Theoretic Methods in Partial Differential Equations
Higher Order Partial Differential Equations in Clifford Analysis
Language: en
Pages: 178
Authors: Elena Irodionovna Obolashvili, F Obolashvili
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: Springer Science & Business Media
This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book and journal literature, parabolic equations have been ignored and are the primary focus of this work. These new