Function Spaces Differential Operators And Nonlinear Analysis

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Function Spaces, Differential Operators and Nonlinear Analysis

Author : Dorothee Haroske
Publisher : Birkhäuser
ISBN 13 : 3034880359
Total Pages : 462 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Dorothee Haroske

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Dorothee Haroske and published by Birkhäuser. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

Function Spaces, Differential Operators and Nonlinear Analysis

Author : Prof. Dr. Hans-Jürgen Schmeisser
Publisher : Springer-Verlag
ISBN 13 : 3663113361
Total Pages : 308 pages
Book Rating : 4.6/5 (631 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Prof. Dr. Hans-Jürgen Schmeisser

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Prof. Dr. Hans-Jürgen Schmeisser and published by Springer-Verlag. This book was released on 2013-12-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces, Differential Operators and Nonlinear Analysis

Author : Lassi Päivärinta
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Lassi Päivärinta

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Lassi Päivärinta and published by . This book was released on 1989 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces, Differential Operators, and Nonlinear Analysis

Author : Hans Triebel
Publisher : Birkhauser
ISBN 13 : 9780817669355
Total Pages : 474 pages
Book Rating : 4.6/5 (693 download)

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Book Synopsis Function Spaces, Differential Operators, and Nonlinear Analysis by : Hans Triebel

Download or read book Function Spaces, Differential Operators, and Nonlinear Analysis written by Hans Triebel and published by Birkhauser. This book was released on 2003 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces, Differential Operators and Nonlinear Analysis

Author : Jiří Rákosník
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Jiří Rákosník

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Jiří Rákosník and published by . This book was released on 1996 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis

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.

Function spaces, differential operators and nonlinear analysis

Author : Pavel Drábek
Publisher :
ISBN 13 : 9788085823523
Total Pages : 400 pages
Book Rating : 4.8/5 (235 download)

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Book Synopsis Function spaces, differential operators and nonlinear analysis by : Pavel Drábek

Download or read book Function spaces, differential operators and nonlinear analysis written by Pavel Drábek and published by . This book was released on 2005 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

Author : Thomas Runst
Publisher : Walter de Gruyter
ISBN 13 : 9783110151138
Total Pages : 568 pages
Book Rating : 4.1/5 (511 download)

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Book Synopsis Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations by : Thomas Runst

Download or read book Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations written by Thomas Runst and published by Walter de Gruyter. This book was released on 1996 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dłotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Differential Equations on Measures and Functional Spaces

Author : Vassili Kolokoltsov
Publisher : Springer
ISBN 13 : 3030033775
Total Pages : 525 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Differential Equations on Measures and Functional Spaces by : Vassili Kolokoltsov

Download or read book Differential Equations on Measures and Functional Spaces written by Vassili Kolokoltsov and published by Springer. This book was released on 2019-06-20 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals.

Function Spaces, 1

Author : Luboš Pick
Publisher : Walter de Gruyter
ISBN 13 : 311025042X
Total Pages : 495 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Function Spaces, 1 by : Luboš Pick

Download or read book Function Spaces, 1 written by Luboš Pick and published by Walter de Gruyter. This book was released on 2012-12-19 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

FSDONA-99

Author : Vesa Mustonen
Publisher :
ISBN 13 : 9788085823424
Total Pages : 272 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis FSDONA-99 by : Vesa Mustonen

Download or read book FSDONA-99 written by Vesa Mustonen and published by . This book was released on 2000 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation Theory, Function Spaces, Differential Operators

Author : Hans Triebel
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Interpolation Theory, Function Spaces, Differential Operators by : Hans Triebel

Download or read book Interpolation Theory, Function Spaces, Differential Operators written by Hans Triebel and published by . This book was released on 1995 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Equations of Monotone Types in Banach Spaces

Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 1441955429
Total Pages : 283 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Nonlinear Differential Equations of Monotone Types in Banach Spaces by : Viorel Barbu

Download or read book Nonlinear Differential Equations of Monotone Types in Banach Spaces written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations

Author : R. E. Showalter
Publisher : American Mathematical Soc.
ISBN 13 : 0821893971
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Monotone Operators in Banach Space and Nonlinear Partial Differential Equations by : R. E. Showalter

Download or read book Monotone Operators in Banach Space and Nonlinear Partial Differential Equations written by R. E. Showalter and published by American Mathematical Soc.. This book was released on 2013-02-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of elliptic or of parabolic type, degenerate cases with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models. The scalar conservation law and semilinear wave equations are briefly mentioned, and hyperbolic systems arising from vibrations of elastic-plastic rods are developed. The origins of a representative sample of such problems are given in the appendix.

Nonlinear Analysis

Author : Erich H. Rothe
Publisher : Academic Press
ISBN 13 : 1483262545
Total Pages : 253 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Analysis by : Erich H. Rothe

Download or read book Nonlinear Analysis written by Erich H. Rothe and published by Academic Press. This book was released on 2014-05-10 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis: A Collection of Papers in Honor of Erich H. Rothe is a collection of papers in honor of Erich H. Rothe, a mathematician who has made significant contributions to various aspects of nonlinear functional analysis. Topics covered range from periodic solutions of semilinear parabolic equations to nonlinear problems across a point of resonance for non-self-adjoint systems. Nonlinear boundary value problems for ordinary differential equations are also considered. Comprised of 14 chapters, this volume first discusses the use of fixed-point theorems in ordered Banach spaces to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order. The reader is then introduced to linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type. Subsequent chapters focus on the branching of periodic solutions of non-autonomous systems; restricted generic bifurcation; Tikhonov regularization and nonlinear problems at resonance; and minimax theorems and their applications to nonlinear partial differential equations. This monograph will be of interest to students and practitioners in the field of mathematics.

Nonlinear Analysis - Theory and Methods

Author : Nikolaos S. Papageorgiou
Publisher : Springer
ISBN 13 : 3030034305
Total Pages : 577 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Nonlinear Analysis - Theory and Methods by : Nikolaos S. Papageorgiou

Download or read book Nonlinear Analysis - Theory and Methods written by Nikolaos S. Papageorgiou and published by Springer. This book was released on 2019-02-26 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

Function Spaces, Entropy Numbers, Differential Operators

Author : D. E. Edmunds
Publisher : Cambridge University Press
ISBN 13 : 9780521059756
Total Pages : 268 pages
Book Rating : 4.0/5 (597 download)

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Book Synopsis Function Spaces, Entropy Numbers, Differential Operators by : D. E. Edmunds

Download or read book Function Spaces, Entropy Numbers, Differential Operators written by D. E. Edmunds and published by Cambridge University Press. This book was released on 2008-02-04 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to nonspecialists.