An Introduction to Nonlinear Functional Analysis and Elliptic Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download An Introduction to Nonlinear Functional Analysis and Elliptic Problems PDF full book. Access full book title An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti. Download full books in PDF and EPUB format.
Author: Antonio Ambrosetti
Publisher: Springer Science & Business Media
ISBN: 0817681140
Category : Mathematics
Languages : en
Pages : 203
Get Book Here
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: Antonio Ambrosetti
Publisher: Springer Science & Business Media
ISBN: 0817681140
Category : Mathematics
Languages : en
Pages : 203
Get Book Here
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: Philippe G. Ciarlet
Publisher: SIAM
ISBN: 1611972582
Category : Mathematics
Languages : en
Pages : 847
Get Book Here
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: Friedrich Sauvigny
Publisher: Springer Science & Business Media
ISBN: 3540344624
Category : Mathematics
Languages : en
Pages : 401
Get Book Here
Book Description
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: Michel Chipot
Publisher: Birkhäuser
ISBN: 3034884281
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
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: Julian Lopez-Gomez
Publisher: CRC Press
ISBN: 1420035509
Category : Mathematics
Languages : en
Pages : 281
Get Book Here
Book Description
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.
Author: Hervé Le Dret
Publisher: Springer
ISBN: 3319783904
Category : Mathematics
Languages : en
Pages : 259
Get Book Here
Book Description
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Author: Dragisa Mitrovic
Publisher: CRC Press
ISBN: 9780582246942
Category : Mathematics
Languages : en
Pages : 416
Get Book Here
Book Description
This volume provides an introduction to modern concepts of linear and nonlinear functional analysis. Its purpose is also to provide an insight into the variety of deeply interlaced mathematical tools applied in the study of nonlinear problems.
Author: Eduardo H. Zarantonello
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 696
Get Book Here
Book Description
Author: Jacob T. Schwartz
Publisher: CRC Press
ISBN: 9780677015002
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Author: Antonio Ambrosetti
Publisher: Cambridge University Press
ISBN: 9780521485739
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
