Elements of Non-Linear Functional Analysis PDF Download

Author: Richard A. Graff
Publisher: American Mathematical Soc.
ISBN: 0821822063
Category : Functional analysis
Languages : en
Pages : 196

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Author: Michel Chipot
Publisher: Birkhäuser
ISBN: 3034884281
Category : Mathematics
Languages : en
Pages : 258

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Book Description
"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS

Author: Jacob T. Schwartz
Publisher: CRC Press
ISBN: 9780677015002
Category : Mathematics
Languages : en
Pages : 248

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Author: Antonio Ambrosetti
Publisher: Springer Science & Business Media
ISBN: 0817681140
Category : Mathematics
Languages : en
Pages : 199

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Book Description
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: Klaus Deimling
Publisher: Springer Science & Business Media
ISBN: 3662005476
Category : Mathematics
Languages : en
Pages : 465

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Book Description
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.

Author: Yoav Benyamini
Publisher: American Mathematical Soc.
ISBN: 0821808354
Category : Nonlinear functional analysis
Languages : en
Pages : 503

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A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Author: Philippe G. Ciarlet
Publisher: SIAM
ISBN: 1611972582
Category : Mathematics
Languages : en
Pages : 847

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Book Description
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: Mohan C. Joshi
Publisher: John Wiley & Sons
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 328

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Author: Roger Temam
Publisher: SIAM
ISBN: 0898713404
Category : Technology & Engineering
Languages : en
Pages : 147

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

Author: Klaus Deimling
Publisher: Courier Corporation
ISBN: 0486132358
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.