Functional Analytic And Complex Methods Their Interactions And Applications To Partial Differential Equations

Author : Helmut Florian,Norbert Ortner,Franz Josef Schnitzer,Wolfgang Tutschke
Publisher : World Scientific
Page : 473 pages
File Size : 42,6 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

Author : Helmut Florian
Publisher : World Scientific
Page : 473 pages
File Size : 41,6 Mb
Release : 2001
Category : Mathematics
ISBN : 9789810247645

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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.

Author : A S A Mshimba,Wolfgang Tutschke
Publisher : World Scientific
Page : 442 pages
File Size : 55,7 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.

Author : Helmut Florian
Publisher : World Scientific
Page : 473 pages
File Size : 45,7 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.

Author : Heinrich Begehr,A. Okay Celebi,W. Tutschke
Publisher : Springer
Page : 352 pages
File Size : 54,8 Mb
Release : 1999-11-30
Category : Mathematics
ISBN : UOM:39015049698973

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

The book contains review chapters as well as state-of-the-art research chapters on topics ranging from complex elliptic first-order systems and second-order systems with regular or singular coefficients to overdetermined systems in several complex variables and partial differential equations in Clifford analysis. Different boundary value problems are studied. Applications to crack problems in elasticity theory to cusped bars, plates, and shells are given. Wavelet transformations are constructed in Banach spaces and used to identify complex analysis from the viewpoint of geometry. Fixed-point problems, even in abstract Banach spaces, are investigated with respect to an optimal domain of existence for the solution. Audience: Researchers working in the field as well as scientists interested in the applications.

Author : Steven G. Krantz
Publisher : CRC Press
Page : 322 pages
File Size : 40,5 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.

Author : Manfred Kracht,Erwin Kreyszig
Publisher : New York ; Toronto : Wiley
Page : 424 pages
File Size : 47,8 Mb
Release : 1988
Category : Differential equations, Partial
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.

Author : Helmut Florian,Klaus Hackl,Franz Josef Schnitzer,Wolfgang Tutschke
Publisher : Springer
Page : 312 pages
File Size : 46,8 Mb
Release : 2011-10-12
Category : Mathematics
ISBN : 1461333342

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Generalized Analytic Functions by Helmut Florian,Klaus Hackl,Franz Josef Schnitzer,Wolfgang Tutschke Pdf

An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations. The power of these interactions is far from being exhausted. In order to promote the further development of the theory of generalized analytic functions and applications of partial differential equations to Mechanics, the Technical University of Graz organized a conference whose Proceedings are contained in the present volume. The contributions on generalized analytic functions (Part One) deal not only with problems in the complex plane (boundary value and initial value problems), but also related problems in higher dimensions are investigated where both several complex variables and the technique of Clifford Analysis are used. Part Two of the Proceedings is devoted to applications to Mechanics. It contains contributions to a variety of general methods such as L p-methods, boundary elements and asymptotic methods, and hemivariational inequalities. A substantial number of the papers of Part Two, however, deals with problems in Ocean Acoustics. The papers of both parts of the Proceedings can be recommended to mathematicians, physicists, and engineers working in the fields mentioned above, as well as for further reading within graduate studies.

Author : Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 42,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302216

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Finite or Infinite Dimensional Complex Analysis and Applications by Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang Pdf

There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.

Author : International Conference on Complex Analysis and Dynamical Systems
Publisher : American Mathematical Soc.
Page : 278 pages
File Size : 48,5 Mb
Release : 2004
Category : Differentiable dynamical systems
ISBN : 9780821836866

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Complex Analysis and Dynamical Systems by International Conference on Complex Analysis and Dynamical Systems Pdf

This book contains contributions from the participants of an International Conference on Complex Analysis and Dynamical Systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the AMS Contemporary Mathematics series.

Author : Irene Sabadini,Michael Shapiro,Franciscus Sommen
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 45,8 Mb
Release : 2009-04-21
Category : Mathematics
ISBN : 9783764398934

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Hypercomplex Analysis by Irene Sabadini,Michael Shapiro,Franciscus Sommen Pdf

Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis.

Author : Heinrich G W Begehr,Man-wah Wong,Robert Pertsch Gilbert
Publisher : World Scientific
Page : 1556 pages
File Size : 51,5 Mb
Release : 2003-08-04
Category : Mathematics
ISBN : 9789814485234

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Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) by Heinrich G W Begehr,Man-wah Wong,Robert Pertsch Gilbert Pdf

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.

Author : Heinrich G. W. Begehr,Robert Pertsch Gilbert,Man Wah Wong
Publisher : World Scientific
Page : 1557 pages
File Size : 43,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812385727

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Progress in Analysis by Heinrich G. W. Begehr,Robert Pertsch Gilbert,Man Wah Wong Pdf

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.

Author : International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert
Publisher : World Scientific
Page : 877 pages
File Size : 52,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812837325

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Further Progress in Analysis by International Society for Analysis, Applications, and Computation. Congress,Heinrich G. W. Begehr,A. Okay Celebi,Robert P. Gilbert Pdf

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 2024-06-07
Category : Electronic
ISBN : 9789814469111

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Further Progress in Analysis by Anonim Pdf