Nonlinear Functional Analysis And Applications To Differential Equations Proceedings Of The Second School

Author : Antonio Ambrosetti,Kung-ching Chang,Ivar Ekeland
Publisher : World Scientific
Page : 298 pages
File Size : 46,8 Mb
Release : 1998-09-02
Category : Electronic
ISBN : 9789814544856

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Nonlinear Functional Analysis And Applications To Differential Equations: Proceedings Of The Second School by Antonio Ambrosetti,Kung-ching Chang,Ivar Ekeland Pdf

This advanced level textbook is devoted to the description of systems which show ordered magnetic phases. A wide selection of topics is covered, including a detailed treatment of the mean-field approximation as the main paradigm for the phenomenological description of phase transitions. The book discusses the properties of low-dimensional systems and uses Green's functions extensively after a useful mathematical introduction. A thorough presentation of the RKKY and related models of indirect exchange is also featured, and a chapter on surface magnetism, rarely found in other textbooks, adds to the uniqueness of this book.For the second edition, three new chapters have been added, namely on magnetic anisotropy, on coherent magnon states and on local moments. Additionally, the chapter on itinerant magnetism has been enlarged by including a section on paramagnons.

Author : Louis B. Rall
Publisher : Elsevier
Page : 595 pages
File Size : 46,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272443

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Nonlinear Functional Analysis and Applications by Louis B. Rall Pdf

Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 556 pages
File Size : 41,6 Mb
Release : 1986
Category : Mathematics
ISBN : 9780821814710

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Nonlinear Functional Analysis and Its Applications, Part 1 by Felix E. Browder Pdf

Author : P. S. Milojevic
Publisher : CRC Press
Page : 284 pages
File Size : 54,7 Mb
Release : 1989-09-28
Category : Mathematics
ISBN : 0824782550

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Nonlinear Functional Analysis by P. S. Milojevic Pdf

This book is based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the American Mathematical Society Regional Meeting, held at New Jersey Institute of Technology. It explores global invertibility and finite solvability of nonlinear differential equations.

Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 832 pages
File Size : 47,5 Mb
Release : 2013-10-10
Category : Mathematics
ISBN : 9781611972597

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Linear and Nonlinear Functional Analysis with Applications by Philippe G. Ciarlet Pdf

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.

Author : E. Zeidler
Publisher : Springer Science & Business Media
Page : 739 pages
File Size : 54,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461209812

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Nonlinear Functional Analysis and its Applications by E. Zeidler Pdf

This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.

Author : L. Nirenberg,Ralph A. Artino
Publisher : American Mathematical Soc.
Page : 159 pages
File Size : 45,9 Mb
Release : 2001
Category : Differential equations, Nonlinear
ISBN : 9780821828199

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Topics in Nonlinear Functional Analysis by L. Nirenberg,Ralph A. Artino Pdf

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Author : Antonio Ambrosetti,David Arcoya Álvarez
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 47,6 Mb
Release : 2011-07-19
Category : Mathematics
ISBN : 9780817681142

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An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti,David Arcoya Álvarez Pdf

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

Author : Eduardo H. Zarantonello
Publisher : Academic Press
Page : 687 pages
File Size : 55,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483266626

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Contributions to Nonlinear Functional Analysis by Eduardo H. Zarantonello Pdf

Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.

Author : S. Kesavan
Publisher : Springer Nature
Page : 161 pages
File Size : 51,5 Mb
Release : 2022-06-04
Category : Mathematics
ISBN : 9789811663475

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Nonlinear Functional Analysis: A First Course by S. Kesavan Pdf

The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology.

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208150

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Applied Functional Analysis by Eberhard Zeidler Pdf

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Author : Lamberto Cesari,Rangachary Kannan,Jerry D. Schuur
Publisher : CRC Press
Page : 378 pages
File Size : 53,8 Mb
Release : 1976-10-01
Category : Mathematics
ISBN : 0824764528

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Nonlinear Functional Analysis and Differential Equations by Lamberto Cesari,Rangachary Kannan,Jerry D. Schuur Pdf

Author : Roger Temam
Publisher : SIAM
Page : 147 pages
File Size : 45,6 Mb
Release : 1995-01-01
Category : Technology & Engineering
ISBN : 9780898713404

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Navier-Stokes Equations and Nonlinear Functional Analysis by Roger Temam Pdf

This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.

Author : Felix E. Browder
Publisher : Unknown
Page : 0 pages
File Size : 42,6 Mb
Release : 1986
Category : Electronic
ISBN : 0821814710

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Nonlinear Functional Analysis and Its Applications by Felix E. Browder Pdf

Author : Louis B. Rall
Publisher : Unknown
Page : 586 pages
File Size : 54,7 Mb
Release : 1971
Category : Functional analysis
ISBN : LCCN:lc73152749

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Nonlinear Functional Analysis and Applications by Louis B. Rall Pdf