Functional Analytic Methods For Partial Differential Equations

Author : Hiroki Tanabe
Publisher : CRC Press
Page : 431 pages
File Size : 52,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351446877

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Functional Analytic Methods for Partial Differential Equations by Hiroki Tanabe Pdf

Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.

Author : Hiroshi Fujita,Teruo Ikebe,Shige T. Kuroda
Publisher : Unknown
Page : 268 pages
File Size : 53,8 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662200740

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Functional-Analytic Methods for Partial Differential Equations by Hiroshi Fujita,Teruo Ikebe,Shige T. Kuroda Pdf

Author : Hiroshi Fujita,Teruo Ikebe,Shige T. Kuroda
Publisher : Springer
Page : 261 pages
File Size : 40,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540468189

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Functional-Analytic Methods for Partial Differential Equations by Hiroshi Fujita,Teruo Ikebe,Shige T. Kuroda Pdf

Proceedings of the International Conference on Functional Analysis and Its Application in Honor of Professor Tosio Kato, July 3-6, 1989, University of Tokyo, and the Symposium on Spectral and Scattering Theory, held July 7, 1989, at Gakushin University, Tokyo.

Author : A S A Mshimba,Wolfgang Tutschke
Publisher : World Scientific
Page : 442 pages
File Size : 48,8 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 : Friedrich Sauvigny
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 48,6 Mb
Release : 2006-10-11
Category : Mathematics
ISBN : 9783540344629

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Partial Differential Equations 2 by Friedrich Sauvigny Pdf

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.

Author : Friedrich Sauvigny
Publisher : Unknown
Page : 128 pages
File Size : 40,7 Mb
Release : 2006
Category : Differential equations, Partial
ISBN : LCCN:2006929532

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Partial Differential Equations by Friedrich Sauvigny Pdf

Author : Heinrich G W Begehr
Publisher : World Scientific Publishing Company
Page : 284 pages
File Size : 55,5 Mb
Release : 1994-11-15
Category : Mathematics
ISBN : 9789813104686

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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 Poincaré 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.

Author : G. Evans,J. Blackledge,P. Yardley
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447103790

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Analytic Methods for Partial Differential Equations by G. Evans,J. Blackledge,P. Yardley Pdf

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.

Author : Heinrich Begehr,A. Okay Celebi,W. Tutschke
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 50,8 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.

Author : Giuseppe Da Prato,Peer Christian Kunstmann,Irena Lasiecka,Alessandra Lunardi,Roland Schnaubelt,Lutz Weis
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 50,8 Mb
Release : 2004-09-22
Category : Mathematics
ISBN : 3540230300

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Functional Analytic Methods for Evolution Equations by Giuseppe Da Prato,Peer Christian Kunstmann,Irena Lasiecka,Alessandra Lunardi,Roland Schnaubelt,Lutz Weis Pdf

This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.

Author : Helmut Florian,Norbert Ortner,Franz Josef Schnitzer,Wolfgang Tutschke
Publisher : World Scientific
Page : 473 pages
File Size : 45,9 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

Author : Robert C. McOwen
Publisher : Unknown
Page : 0 pages
File Size : 46,5 Mb
Release : 1996
Category : Differential equations, Partial
ISBN : 0131218808

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Partial Differential Equations by Robert C. McOwen Pdf

Designed to bridge the gap between graduate-level texts in partial differential equations and the current literature in research journals, this text introduces students to a wide variety of more modern methods - especially the use of functional analysis - which has characterized much of the recent development of PDEs. *Covers the modern, functional analytic methods in use today -- especially as they pertain to nonlinear equations. *Maintains mathematical rigor and generality whenever possible -- but not at the expense of clarity or concreteness. *Offers a rapid pace -- with some proofs and applications relegated to exercises. *Unlike other texts -- which start with the treatment of second-order equations -- begins with the method of characteristics and first-order equations, with an emphasis in its constructive aspects. *Introduces the methods by emphasizing important applications. *Illustrates topics with many figures. *Contains nearly 400 exercises, most with hints or solutions. *Provides chapter summaries. *Lists references for further reading.

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 50,9 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : Friedrich Sauvigny
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 52,5 Mb
Release : 2006-10-04
Category : Mathematics
ISBN : 9783540344599

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Partial Differential Equations by Friedrich Sauvigny Pdf

This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.

Author : Heinrich Begehr,R.P. Gilbert,Wen-Chung Guo
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 44,5 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.