The Beltrami Equation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461431913
Total Pages : 309 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Beltrami Equation by : Vladimir Gutlyanskii

Download or read book The Beltrami Equation written by Vladimir Gutlyanskii and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics. The purpose of this book is to present the recent developments in the theory of Beltrami equations; especially those concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behavior of solutions to the Beltrami equations. The monograph contains a number of new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary. The most important feature of this book concerns the unified geometric approach based on the modulus method that is effectively applied to solving the mentioned problems. Moreover, it is characteristic for the book application of many new concepts as strong ring solutions, tangent dilatations, weakly flat and strongly accessible boundaries, functions of finite mean oscillations and new integral conditions that make possible to realize a more deep and refined analysis of problems related to the Beltrami equations. Mastering and using these new tools also gives essential advantages for the reader in the research of modern problems in many other domains. Every mathematics graduate library should have a copy of this book.​

The Beltrami Equation

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821840452
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Beltrami Equation by : Tadeusz Iwaniec

Download or read book The Beltrami Equation written by Tadeusz Iwaniec and published by American Mathematical Soc.. This book was released on 2008 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The measurable Riemann Mapping Theorem (or the existence theorem for quasiconformal mappings) has found a central role in a diverse variety of areas such as holomorphic dynamics, Teichmuller theory, low dimensional topology and geometry, and the planar theory of PDEs. Anticipating the needs of future researchers, the authors give an account of the state of the art as it pertains to this theorem, that is, to the existence and uniqueness theory of the planar Beltrami equation, and various properties of the solutions to this equation. The classical theory concerns itself with the uniformly elliptic case (quasiconformal mappings). Here the authors develop the theory in the more general framework of mappings of finite distortion and the associated degenerate elliptic equations.

Handbook of Complex Analysis

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Publisher : Elsevier
ISBN 13 : 0080495176
Total Pages : 876 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Complex Analysis by : Reiner Kuhnau

Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2004-12-09 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Lectures on Analytic Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836676
Total Pages : 641 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Analytic Differential Equations by : I︠U︡. S. Ilʹi︠a︡shenko

Download or read book Lectures on Analytic Differential Equations written by I︠U︡. S. Ilʹi︠a︡shenko and published by American Mathematical Soc.. This book was released on 2008 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the mor The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. on several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.

Annales Academiae Scientiarum Fennicae

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Publisher :
ISBN 13 :
Total Pages : 538 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Annales Academiae Scientiarum Fennicae by :

Download or read book Annales Academiae Scientiarum Fennicae written by and published by . This book was released on 1996 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Problems of Mathematics and Mechanics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895429
Total Pages : 276 pages
Book Rating : 4.8/5 (954 download)

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Book Synopsis Some Problems of Mathematics and Mechanics by :

Download or read book Some Problems of Mathematics and Mechanics written by and published by American Mathematical Soc.. This book was released on 1976-12-31 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translation of Nekotorye problemy matematiki i mekhaniki."

Grid Generation Methods

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Publisher : Springer
ISBN 13 : 3319578464
Total Pages : 541 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Grid Generation Methods by : Vladimir D. Liseikin

Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer. This book was released on 2017-06-12 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

Selected Works of Lipman Bers

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821809969
Total Pages : 648 pages
Book Rating : 4.8/5 (99 download)

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Book Synopsis Selected Works of Lipman Bers by : Lipman Bers

Download or read book Selected Works of Lipman Bers written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1998 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

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Publisher : Princeton University Press
ISBN 13 : 9780691137773
Total Pages : 708 pages
Book Rating : 4.1/5 (377 download)

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Book Synopsis Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) by : Kari Astala

Download or read book Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) written by Kari Astala and published by Princeton University Press. This book was released on 2009-01-18 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 1960 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Studia Universitatis Babeș-Bolyai

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Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Studia Universitatis Babeș-Bolyai by : Universitatea "Babeș-Bolyai".

Download or read book Studia Universitatis Babeș-Bolyai written by Universitatea "Babeș-Bolyai". and published by . This book was released on 2002 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 1280 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1990 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Russian Journal of Numerical Analysis and Mathematical Modelling

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Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Russian Journal of Numerical Analysis and Mathematical Modelling by :

Download or read book Russian Journal of Numerical Analysis and Mathematical Modelling written by and published by . This book was released on 2003 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 854 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2004 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Moduli in Modern Mapping Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387855882
Total Pages : 368 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Moduli in Modern Mapping Theory by : Olli Martio

Download or read book Moduli in Modern Mapping Theory written by Olli Martio and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 9400959834
Total Pages : 732 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer. This book was released on 2013-12-20 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the International Congress of Matematics 14-21 August 1958

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4./5 ( download)

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Book Synopsis Proceedings of the International Congress of Matematics 14-21 August 1958 by :

Download or read book Proceedings of the International Congress of Matematics 14-21 August 1958 written by and published by CUP Archive. This book was released on with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: