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: 25.49 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, 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 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 nical Research Council of Turkey and the Middle East Technical University. This workshop is a continuation oftwo workshops from 1988 and 1993 at the In ternational Centre for Theoretical Physics in Trieste, Italy entitled Functional analytic Methods in Complex Analysis and Applications to Partial Differential Equations. Since classical complex analysis of one and several variables has a long tra dition it is of high level. But most of its basic problems are solved nowadays so that within the last few decades it has lost more and more attention. The area of complex and functional analytic methods in partial differential equations, however, is still a growing and flourishing field, in particular as these methods are not only applied. Whithin the framework of holomorphic functions but are also combined with properties of generalized analytic functions. This can be seen by the many books which recently were published in this field and also
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 chapter gives a motivation for and the underlying ideas of, the later chapters. Chapters 2 to 7 give a detailed exposition of the basic concepts and fundamental theorems, as well as their most recent development. Chapters 8 to 13 are concerned with the application of the theory to three important classes of differential equations of mathematical physics.
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 and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.
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 geometry, and functions of several complex variables have advanced, many methods useful in such fields were introduced into the study of differential equations.
Partielle Differentialgleichungen der Geometrie und der Physik 2
Language: de
Pages: 350
Authors: Friedrich Sauvigny
Categories: Mathematics
Type: BOOK - Published: 2005-12-05 - Publisher: Springer-Verlag
Das zweibändige Lehrbuch behandelt das Gebiet der partiellen Differentialgleichungen umfassend und anschaulich. Der Autor stellt in Band 2 funktionalanalytische Lösungsmethoden vor und erläutert u. a. die Lösbarkeit von Operatorgleichungen im Banachraum, lineare Operatoren im Hilbertraum und Spektraltheorie, die Schaudersche Theorie linearer elliptischer Differentialgleichungen sowie schwache Lösungen elliptischer Differentialgleichungen.
Proceedings of the functional analytic methods in complex analysis and applications to partial differential equations
Language: en
Pages: 428
Authors: Ali Seif Mshimba
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher:
Books about Proceedings of the functional analytic methods in complex analysis and applications to partial differential equations
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
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 in Hilbert spaces and spectral theory; Schauder's theory of linear elliptic differential equations; Weak solutions of differential equations; Nonlinear partial differential equations and characteristics; Nonlinear elliptic systems with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, this volume uses functional analytic solution methods.