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Author: C. Miranda
Publisher: Springer Science & Business Media
ISBN: 3642877737
Category : Mathematics
Languages : en
Pages : 384
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Book Description
In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo sition, in some cases in summary form, of the various techniques used in the study of these equations.
Author: C. Miranda
Publisher: Springer Science & Business Media
ISBN: 3642877737
Category : Mathematics
Languages : en
Pages : 384
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Book Description
In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo sition, in some cases in summary form, of the various techniques used in the study of these equations.
Author: I. N. Vekua
Publisher: Elsevier
ISBN: 1483184676
Category : Mathematics
Languages : en
Pages : 699
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Book Description
Generalized Analytic Functions is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and theory of shells. Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered. Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. The final part of the book deals with problems of the theory of surfaces and the membrane theory of shells. This book is intended for students of advanced courses of the mechanico-mathematical faculties, postgraduates, and research workers.
Author: Heinrich Begehr
Publisher: Springer Science & Business Media
ISBN: 1461332915
Category : Mathematics
Languages : en
Pages : 331
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Book Description
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: Lipman Bers
Publisher: American Mathematical Soc.
ISBN: 9780821809969
Category : Mathematics
Languages : en
Pages : 648
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Book Description
Author: Guo Chun Wen
Publisher: World Scientific
ISBN: 9812779426
Category : Mathematics
Languages : en
Pages : 453
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Book Description
In the fishing community of Fjallbacka, life is remote, peaceful, and for some, tragically short. Foul play was always suspected in the disappearance twenty years ago of two young campers, but their bodies were never found. But now, a young boy out playing has confirmed the grim truth. Their remains are discovered alongside those of a fresh victim, sending the tiny town into shock. Local detective Patrik Hedstrom, expecting a baby with his girlfriend Erica, can only imagine what it is like to lose a child. When a second young girl goes missing, Hedstrom's attention focuses on the Hults, a feuding clan of misfits, religious fanatics and criminals. The suspect list is long but time is short which of this family's dark secrets will provide the vital clue? Praise for The Ice Princess : The hottest crime genre of the moment is Nordic noir and Swedish writer Camilla Luckberg (who shares Stieg Larsson's translator) is one of the reasons. As with all Scandinavian murder mysteries, it's darker, bleaker, and the plot far more sinister than similar American fare. Larsson fans who give Luckberg's novel a chance to seduce them will be rewarded. USA Today At the start of Luckberg's haunting U.S. debut, biographer Erica Falck feels compelled to write a novel about why her beautiful friend Alex would kill herself. Luckberg skillfully details how horrific secrets are never completely buried and how silence can kill the soul." Publishers Weekly , starred review Camilla Luckberg has written seven blockbuster novels in her native Swedish but, until now, no one has published any of them in the United States. Now Pegasus Books has stepped forward.â¿ â¿¿ The New York Times Heart-stopping a masterclass in Scandinavian crime fiction." Val McDermid
Author: T Aliyev Azeroglu
Publisher: World Scientific
ISBN: 9814475718
Category : Mathematics
Languages : en
Pages : 301
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Book Description
This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.
Author: Vladimir Gutlyanskii
Publisher: Springer Science & Business Media
ISBN: 1461431913
Category : Mathematics
Languages : en
Pages : 309
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Book Description
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.
Author: Tahir Aliyev Azero?lu
Publisher: World Scientific
ISBN: 9812778837
Category : Mathematics
Languages : en
Pages : 301
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Book Description
This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kuhnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.
Author: Enrico Giusti
Publisher: World Scientific
ISBN: 9812795553
Category : Mathematics
Languages : en
Pages : 412
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Book Description
This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory. Contents: Semi-Classical Theory; Measurable Functions; Sobolev Spaces; Convexity and Semicontinuity; Quasi-Convex Functionals; Quasi-Minima; HAlder Continuity; First Derivatives; Partial Regularity; Higher Derivatives. Readership: Graduate students, academics and researchers in the field of analysis and differential equations."
Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821851969
Category : Mathematics
Languages : en
Pages : 346
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Book Description
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of Lie groups, control theory, and optimization. Taken together, the articles provide the reader with a panorama of activity in complex analysis and quasiconformal mappings, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 554) is devoted to general relativity, geometry, and PDE.
