Lecture Notes On Functional Analysis With Applications To Linear Partial Differential Equations

Author : Alberto Bressan
Publisher : American Mathematical Soc.
ISBN 13 : 0821887718
Total Pages : 265 pages
Book Rating : 4.14/5 ( download)

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Download or read book Lecture Notes on Functional Analysis written by Alberto Bressan and published by American Mathematical Soc.. This book was released on 2013 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra. The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.

Author : Milan Miklav?i?
Publisher : World Scientific
ISBN 13 : 9789810235352
Total Pages : 308 pages
Book Rating : 4.56/5 ( download)

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Download or read book Applied Functional Analysis and Partial Differential Equations written by Milan Miklav?i? and published by World Scientific. This book was released on 1998 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.

Author : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611972590
Total Pages : 832 pages
Book Rating : 4.97/5 ( download)

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Download or read book Linear and Nonlinear Functional Analysis with Applications written by Philippe G. Ciarlet and published by SIAM. This book was released on 2013-10-10 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J. Cea
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638399
Total Pages : 296 pages
Book Rating : 4.93/5 ( download)

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Download or read book Partial Differential Equations and Functional Analysis written by J. Cea and published by Springer Science & Business Media. This book was released on 1996-05-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. A Conference was held in November 1994 out of which grew the invited articles contained in this volume. All of the papers are related to functional analysis applied to partial differential equations, which was Grisvard's specialty. Indeed his knowledge of this area was extremely broad. He began his career as one of the very first students of Jacques Louis Lions, and in 1965, he presented his "State Thesis" on interpolation spaces, using in particular, spectral theory for linear operators in Banach spaces. After 1970, he became a specialist in the study of optimal regularity for par tial differential equations with boundary conditions. He studied singulari ties coming from coefficients, boundary conditions, and mainly non-smooth domains, and left a legacy of precise results which have been published in journals and books. Pierre Grisvard spent most of his career as a full professor at the University of Nice, where he started in 1967. For shorter or longer periods, he visited several foreign countries, and collaborated with some of the most famous mathematicians in his field. He was also an excellent organizer and directed a large number of Ph.D. students. Finally, this volume contains a bibliography of Grisvard's works as well as one paper which he wrote and which has not been published before.

Author : Klaus D. Bierstedt
Publisher : CRC Press
ISBN 13 : 9780824790660
Total Pages : 556 pages
Book Rating : 4.69/5 ( download)

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Download or read book Functional Analysis written by Klaus D. Bierstedt and published by CRC Press. This book was released on 1993-09-16 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings from the Symposium on Functional Analysis explore advances in the usually separate areas of semigroups of operators and evolution equations, geometry of Banach spaces and operator ideals, and Frechet spaces with applications in partial differential equations.

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.47/5 ( download)

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Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : L. Nirenberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821828193
Total Pages : 159 pages
Book Rating : 4.99/5 ( download)

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Download or read book Topics in Nonlinear Functional Analysis written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 2001 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lamberto Cesari
Publisher : CRC Press
ISBN 13 : 9780824764524
Total Pages : 378 pages
Book Rating : 4.28/5 ( download)

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Download or read book Nonlinear Functional Analysis and Differential Equations written by Lamberto Cesari and published by CRC Press. This book was released on 1976-10-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Louis B. Rall
Publisher : Elsevier
ISBN 13 : 1483272443
Total Pages : 595 pages
Book Rating : 4.43/5 ( download)

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Download or read book Nonlinear Functional Analysis and Applications written by Louis B. Rall and published by Elsevier. This book was released on 2014-05-10 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : P. S. Milojevic
Publisher : CRC Press
ISBN 13 : 1482276917
Total Pages : 288 pages
Book Rating : 4.16/5 ( download)

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Download or read book Nonlinear Functional Analysis written by P. S. Milojevic and published by CRC Press. This book was released on 1989-09-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.