Methods Of Complex Analysis In Partial Differential Equations With Applications

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Methods of Complex Analysis in Partial Differential Equations with Applications

Manfred Kracht,Erwin Kreyszig
Methods of Complex Analysis in Partial Differential Equations with Applications Book PDF

Author : Manfred Kracht,Erwin Kreyszig
Publisher : New York ; Toronto : Wiley
Page : 424 pages
File Size : 45,5 Mb
Release : 1988
Category : Mathematics
ISBN : UCAL:B4406640

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Methods of Complex Analysis in Partial Differential Equations with Applications by Manfred Kracht,Erwin Kreyszig Pdf

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.

Complex Methods for Partial Differential Equations

Heinrich Begehr,A. Okay Celebi,W. Tutschke
Complex Methods for Partial Differential Equations Book PDF

Author : Heinrich Begehr,A. Okay Celebi,W. Tutschke
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 42,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461332916

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Complex Methods for Partial Differential Equations by Heinrich Begehr,A. Okay Celebi,W. Tutschke Pdf

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 by the proceedings in this ISAAC series and the ISAAC congresses and workshops.

Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations

A S A Mshimba,Wolfgang Tutschke
Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations Book PDF

Author : A S A Mshimba,Wolfgang Tutschke
Publisher : World Scientific
Page : 442 pages
File Size : 42,6 Mb
Release : 1995-10-17
Category : Electronic
ISBN : 9789814548533

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Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations by A S A Mshimba,Wolfgang Tutschke Pdf

These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.Some problems in higher dimensions (such as the unification of global and local existence theorems for holomorphic functions and an elementary approach to Clifford analysis) are also discussed.Particular emphasis is placed on Symbolic Computation in Complex Analysis and on the new approaches to teach mathematical analysis based on interactions between complex analysis and partial differential equations.

Partial Differential Equations and Complex Analysis

Steven G. Krantz
Partial Differential Equations and Complex Analysis Book PDF

Author : Steven G. Krantz
Publisher : CRC Press
Page : 322 pages
File Size : 42,8 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351425803

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Partial Differential Equations and Complex Analysis by Steven G. Krantz Pdf

Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis. The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.

Complex Analytic Methods for Partial Differential Equations

Heinrich G. W. Begehr
Complex Analytic Methods for Partial Differential Equations Book PDF

Author : Heinrich G. W. Begehr
Publisher : World Scientific
Page : 288 pages
File Size : 54,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810215509

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Complex Analytic Methods for Partial Differential Equations by Heinrich G. W. Begehr Pdf

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.

Partial Differential and Integral Equations

Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo
Partial Differential and Integral Equations Book PDF

Author : Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 50,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461332763

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Partial Differential and Integral Equations by Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo Pdf

This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Applied Complex Analysis with Partial Differential Equations

Nakhlé H. Asmar,Gregory C. Jones
Applied Complex Analysis with Partial Differential Equations Book PDF

Author : Nakhlé H. Asmar,Gregory C. Jones
Publisher : Unknown
Page : 904 pages
File Size : 44,9 Mb
Release : 2002
Category : Mathematics
ISBN : UVA:X004635768

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Applied Complex Analysis with Partial Differential Equations by Nakhlé H. Asmar,Gregory C. Jones Pdf

This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.

Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Helmut Florian
Functional analytic and Complex Methods Their Interactions and Applications to Partial Differential Equations Book PDF

Author : Helmut Florian
Publisher : World Scientific
Page : 473 pages
File Size : 42,6 Mb
Release : 2001
Category : Mathematics
ISBN : 9789812794550

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Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations by Helmut Florian Pdf

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today''s rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell''s equations, crystal optics, dynamical problems for cusped bars, and conservation laws. Sample Chapter(s). Hyperbolic Equations, Waves and the Singularity Theory (858 KB). Contents: Boundary Value Problems and Initial Value Problems for Partial Differential Equations; Applications of Functional-Analytic and Complex Methods to Mathematical Physics; Partial Complex Differential Equations in the Plane; Complex Methods in Higher Dimensions. Readership: Researchers, lecturers and graduate students in the fields of analysis & differential equations, applied mathematics and mathematical physics.

Methods for Constructing Exact Solutions of Partial Differential Equations

Sergey V. Meleshko
Methods for Constructing Exact Solutions of Partial Differential Equations Book PDF

Author : Sergey V. Meleshko
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 54,9 Mb
Release : 2006-06-18
Category : Technology & Engineering
ISBN : 9780387252650

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Methods for Constructing Exact Solutions of Partial Differential Equations by Sergey V. Meleshko Pdf

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop

Helmut Florian,Norbert Ortner,Franz Josef Schnitzer,Wolfgang Tutschke
Functional analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations Proceedings Of The International Graz Workshop Book PDF

Author : Helmut Florian,Norbert Ortner,Franz Josef Schnitzer,Wolfgang Tutschke
Publisher : World Scientific
Page : 473 pages
File Size : 52,9 Mb
Release : 2001-11-12
Category : Mathematics
ISBN : 9789814490009

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Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop by Helmut Florian,Norbert Ortner,Franz Josef Schnitzer,Wolfgang Tutschke Pdf

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. remove /a remove

Partial Differential Equations

Michael Shearer,Rachel Levy
Partial Differential Equations Book PDF

Author : Michael Shearer,Rachel Levy
Publisher : Princeton University Press
Page : 286 pages
File Size : 46,5 Mb
Release : 2015-03-01
Category : Mathematics
ISBN : 9780691161297

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Partial Differential Equations by Michael Shearer,Rachel Levy Pdf

An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

Complex Analysis – Methods, Trends, and Applications

Eberhard Lanckau,Wolfgang Tutschke
Complex Analysis Methods Trends and Applications Book PDF

Author : Eberhard Lanckau,Wolfgang Tutschke
Publisher : Walter de Gruyter GmbH & Co KG
Page : 400 pages
File Size : 53,7 Mb
Release : 1983-12-31
Category : Mathematics
ISBN : 9783112707753

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Complex Analysis – Methods, Trends, and Applications by Eberhard Lanckau,Wolfgang Tutschke Pdf

No detailed description available for "Complex Analysis – Methods, Trends, and Applications".

Partial Differential Equations

Victor Henner,Tatyana Belozerova,Alexander Nepomnyashchy
Partial Differential Equations Book PDF

Author : Victor Henner,Tatyana Belozerova,Alexander Nepomnyashchy
Publisher : CRC Press
Page : 298 pages
File Size : 47,9 Mb
Release : 2019-11-20
Category : Mathematics
ISBN : 9780429804410

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Partial Differential Equations by Victor Henner,Tatyana Belozerova,Alexander Nepomnyashchy Pdf

Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses. Highlights: Offers a complete first course on PDEs The text’s flexible structure promotes varied syllabi for courses Written with a teach-by-example approach which offers numerous examples and applications Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions The text’s graphical material makes excellent use of modern software packages Features numerous examples and applications which are suitable for readers studying the subject remotely or independently

Complex Analysis and Its Applications

C.C. Yang,Guo-Chun Wen,K Y Li,Y M Chiang
Complex Analysis and Its Applications Book PDF

Author : C.C. Yang,Guo-Chun Wen,K Y Li,Y M Chiang
Publisher : CRC Press
Page : 380 pages
File Size : 54,5 Mb
Release : 1994-04-05
Category : Mathematics
ISBN : 0582231817

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Complex Analysis and Its Applications by C.C. Yang,Guo-Chun Wen,K Y Li,Y M Chiang Pdf

This volume presents a collection of contributions to an international conference on complex analysis and its applications held at the newly founded Hong Kong University of Science and Technology in January 1993. The aim of the conference was to advance the theoretical aspects of complex analysis and to explore the application of its techniques to physical and engineering problems. Three main areas were emphasised: Value distribution theory; Complex dynamical system and geometric function theory; and the Application of complex analysis to differential quations and physical engineering problems.

Methods for Constructing Exact Solutions of Partial Differential Equations

Sergey V. Meleshko
Methods for Constructing Exact Solutions of Partial Differential Equations Book PDF

Author : Sergey V. Meleshko
Publisher : Springer
Page : 0 pages
File Size : 52,8 Mb
Release : 2005-09-16
Category : Mathematics
ISBN : 0387250603

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Methods for Constructing Exact Solutions of Partial Differential Equations by Sergey V. Meleshko Pdf

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.