Functional Analytic Methods For Partial Differential Equations

Author : Hiroki Tanabe
Publisher : CRC Press
ISBN 13 : 1351446878
Total Pages : 431 pages
Book Rating : 4.77/5 ( download)

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Download or read book Functional Analytic Methods for Partial Differential Equations written by Hiroki Tanabe and published by CRC Press. This book was released on 2017-11-22 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher :
ISBN 13 : 9783662200742
Total Pages : 268 pages
Book Rating : 4.40/5 ( download)

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Download or read book Functional-Analytic Methods for Partial Differential Equations written by Hiroshi Fujita and published by . This book was released on 2014-09-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hiroshi Fujita
Publisher : Springer
ISBN 13 : 3540468188
Total Pages : 261 pages
Book Rating : 4.89/5 ( download)

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Download or read book Functional-Analytic Methods for Partial Differential Equations written by Hiroshi Fujita and published by Springer. This book was released on 2006-11-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : World Scientific
ISBN 13 : 9814548537
Total Pages : 442 pages
Book Rating : 4.33/5 ( download)

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Download or read book Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations written by A S A Mshimba and published by World Scientific. This book was released on 1995-10-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3540344624
Total Pages : 401 pages
Book Rating : 4.29/5 ( download)

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Download or read book Partial Differential Equations 2 written by Friedrich Sauvigny and published by Springer Science & Business Media. This book was released on 2006-10-11 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 :
Total Pages : pages
Book Rating : 4.32/5 ( download)

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Download or read book Partial Differential Equations written by Friedrich Sauvigny and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Heinrich G. W. Begehr
Publisher : World Scientific
ISBN 13 : 9789810215507
Total Pages : 288 pages
Book Rating : 4.09/5 ( download)

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Download or read book Complex Analytic Methods for Partial Differential Equations written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 1994 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : G. Evans
Publisher : Springer Science & Business Media
ISBN 13 : 1447103793
Total Pages : 308 pages
Book Rating : 4.90/5 ( download)

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Download or read book Analytic Methods for Partial Differential Equations written by G. Evans and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 1461332915
Total Pages : 331 pages
Book Rating : 4.16/5 ( download)

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Download or read book Complex Methods for Partial Differential Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 9783540230304
Total Pages : 486 pages
Book Rating : 4.00/5 ( download)

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Download or read book Functional Analytic Methods for Evolution Equations written by Giuseppe Da Prato and published by Springer Science & Business Media. This book was released on 2004-09-22 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.