Thirteen papers on functional analysis and partial differential equations
Author: M.S. Brodski_
Publisher: American Mathematical Soc.
Published: 1965-12-31
Total Pages: 308
ISBN-13: 9780821896259
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Author: M.S. Brodski_
Publisher: American Mathematical Soc.
Published: 1965-12-31
Total Pages: 308
ISBN-13: 9780821896259
DOWNLOAD EBOOKAuthor: M. S. Brodskij
Publisher:
Published: 1965
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Haim Brezis
Publisher: Springer Science & Business Media
Published: 2010-11-02
Total Pages: 600
ISBN-13: 0387709142
DOWNLOAD EBOOKThis 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: M. S. Brodskiĭ
Publisher:
Published: 1965
Total Pages: 299
ISBN-13: 9781470432584
DOWNLOAD EBOOKAuthor: V. I. Arnol_d
Publisher: American Mathematical Soc.
Published: 1968-12-31
Total Pages: 278
ISBN-13: 9780821896518
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Publisher: American Mathematical Soc.
Published: 1970-12-31
Total Pages: 258
ISBN-13: 9780821896617
DOWNLOAD EBOOKAuthor: Milan Miklavčič
Publisher: Allied Publishers
Published: 1998
Total Pages: 316
ISBN-13: 9788177648515
DOWNLOAD EBOOKAuthor: Michael Renardy
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 447
ISBN-13: 0387216871
DOWNLOAD EBOOKPartial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.
Author: Alberto Bressan
Publisher: American Mathematical Soc.
Published: 2013
Total Pages: 265
ISBN-13: 0821887718
DOWNLOAD EBOOKThis 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: Françoise Demengel
Publisher: Springer Science & Business Media
Published: 2012-01-24
Total Pages: 480
ISBN-13: 1447128079
DOWNLOAD EBOOKThe theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions. This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. The book also considers other kinds of functional spaces which are useful for treating variational problems such as the minimal surface problem. The main purpose of the book is to provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on the Schwartz space. There are complete and detailed proofs of almost all the results announced and, in some cases, more than one proof is provided in order to highlight different features of the result. Each chapter concludes with a range of exercises of varying levels of difficulty, with hints to solutions provided for many of them.