Linear and Quasilinear Elliptic Equations

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Publisher : Academic Press
ISBN 13 : 0080955541
Total Pages : 515 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Linear and Quasilinear Elliptic Equations by : Ladyzhenskaya

Download or read book Linear and Quasilinear Elliptic Equations written by Ladyzhenskaya and published by Academic Press. This book was released on 1968 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Quasilinear Elliptic Equations

Quasilinear Elliptic Equations with Degenerations and Singularities

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Publisher : Walter de Gruyter
ISBN 13 : 3110804778
Total Pages : 233 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Quasilinear Elliptic Equations with Degenerations and Singularities by : Pavel Drábek

Download or read book Quasilinear Elliptic Equations with Degenerations and Singularities written by Pavel Drábek and published by Walter de Gruyter. This book was released on 2011-07-22 with total page 233 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. Please submit book proposals to Jürgen Appell.

Linear and Quasilinear Elliptic Equations

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Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Linear and Quasilinear Elliptic Equations by : Olʹga Aleksandrovna Ladyzhenskai︠a︡

Download or read book Linear and Quasilinear Elliptic Equations written by Olʹga Aleksandrovna Ladyzhenskai︠a︡ and published by . This book was released on 1968 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Quasi-linear Equations of Parabolic Type

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821815731
Total Pages : 74 pages
Book Rating : 4.8/5 (157 download)

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Book Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga A. Ladyženskaja

Download or read book Linear and Quasi-linear Equations of Parabolic Type written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

Djairo G. de Figueiredo - Selected Papers

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Publisher : Springer Science & Business Media
ISBN 13 : 3319028561
Total Pages : 733 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Djairo G. de Figueiredo - Selected Papers by : Djairo G. de Figueiredo

Download or read book Djairo G. de Figueiredo - Selected Papers written by Djairo G. de Figueiredo and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.

Elliptic Partial Differential Equations of Second Order

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Publisher : Springer Science & Business Media
ISBN 13 : 364296379X
Total Pages : 409 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Elliptic Partial Differential Equations of Second Order by : D. Gilbarg

Download or read book Elliptic Partial Differential Equations of Second Order written by D. Gilbarg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended as an essentially self contained exposition of portions of the theory of second order quasilinear elliptic partial differential equations, with emphasis on the Dirichlet problem in bounded domains. It grew out of lecture notes for graduate courses by the authors at Stanford University, the final material extending well beyond the scope of these courses. By including preparatory chapters on topics such as potential theory and functional analysis, we have attempted to make the work accessible to a broad spectrum of readers. Above all, we hope the readers of this book will gain an appreciation of the multitude of ingenious barehanded techniques that have been developed in the study of elliptic equations and have become part of the repertoire of analysis. Many individuals have assisted us during the evolution of this work over the past several years. In particular, we are grateful for the valuable discussions with L. M. Simon and his contributions in Sections 15.4 to 15.8; for the helpful comments and corrections of J. M. Cross, A. S. Geue, J. Nash, P. Trudinger and B. Turkington; for the contributions of G. Williams in Section 10.5 and of A. S. Geue in Section 10.6; and for the impeccably typed manuscript which resulted from the dedicated efforts oflsolde Field at Stanford and Anna Zalucki at Canberra. The research of the authors connected with this volume was supported in part by the National Science Foundation.

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105

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Publisher : Princeton University Press
ISBN 13 : 1400881625
Total Pages : 309 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 by : Mariano Giaquinta

Download or read book Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 written by Mariano Giaquinta and published by Princeton University Press. This book was released on 2016-03-02 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of multiple integrals in the calculus of variations and nonlinear elliptic systems from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Elliptic and Parabolic Equations with Discontinuous Coefficients

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Author :
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elliptic and Parabolic Equations with Discontinuous Coefficients by : Antonino Maugeri

Download or read book Elliptic and Parabolic Equations with Discontinuous Coefficients written by Antonino Maugeri and published by Wiley-VCH. This book was released on 2000-12-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients. To the enlarging market of researchers in applied sciences, mathematics and physics, it gives concrete answers to questions suggested by non-linear models. Providing an up-to date survey on the results concerning elliptic and parabolic operators on a high level, the authors serve the reader in doing further research. Being themselves active researchers in the field, the authors describe both on the level of good examples and precise analysis, the crucial role played by such requirements on the coefficients as the Cordes condition, Campanato's nearness condition, and vanishing mean oscillation condition. They present the newest results on the basic boundary value problems for operators with VMO coefficients and non-linear operators with discontinuous coefficients and state a lot of open problems in the field.

Nonlinear Elliptic Equations of the Second Order

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Publisher : American Mathematical Soc.
ISBN 13 : 1470426072
Total Pages : 378 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Elliptic Equations of the Second Order by : Qing Han

Download or read book Nonlinear Elliptic Equations of the Second Order written by Qing Han and published by American Mathematical Soc.. This book was released on 2016-04-15 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear elliptic differential equations are a diverse subject with important applications to the physical and social sciences and engineering. They also arise naturally in geometry. In particular, much of the progress in the area in the twentieth century was driven by geometric applications, from the Bernstein problem to the existence of Kähler–Einstein metrics. This book, designed as a textbook, provides a detailed discussion of the Dirichlet problems for quasilinear and fully nonlinear elliptic differential equations of the second order with an emphasis on mean curvature equations and on Monge–Ampère equations. It gives a user-friendly introduction to the theory of nonlinear elliptic equations with special attention given to basic results and the most important techniques. Rather than presenting the topics in their full generality, the book aims at providing self-contained, clear, and “elementary” proofs for results in important special cases. This book will serve as a valuable resource for graduate students or anyone interested in this subject.

Semilinear Elliptic Equations for Beginners

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Publisher : Springer Science & Business Media
ISBN 13 : 0857292277
Total Pages : 204 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Semilinear Elliptic Equations for Beginners by : Marino Badiale

Download or read book Semilinear Elliptic Equations for Beginners written by Marino Badiale and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field of nonlinear differential equations. This book is an introduction to variational methods and their applications to semilinear elliptic problems. Providing a comprehensive overview on the subject, this book will support both student and teacher engaged in a first course in nonlinear elliptic equations. The material is introduced gradually, and in some cases redundancy is added to stress the fundamental steps in theory-building. Topics include differential calculus for functionals, linear theory, and existence theorems by minimization techniques and min-max procedures. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book will be of primary use to graduate students based in the field of nonlinear partial differential equations. It will also serve as valuable reading for final year undergraduates seeking to learn about basic working tools from variational methods and the management of certain types of nonlinear problems.

LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS.

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Author :
Publisher :
ISBN 13 : 9781483253329
Total Pages : 0 pages
Book Rating : 4.2/5 (533 download)

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Book Synopsis LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS. by :

Download or read book LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS. written by and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second Order Elliptic Equations and Elliptic Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821819240
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Second Order Elliptic Equations and Elliptic Systems by : Ya-Zhe Chen

Download or read book Second Order Elliptic Equations and Elliptic Systems written by Ya-Zhe Chen and published by American Mathematical Soc.. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.

Linear and Quasilinear Elliptic Equations

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Publisher :
ISBN 13 :
Total Pages : 495 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Linear and Quasilinear Elliptic Equations by : Olʹga Aleksandrovna Ladyzhenskai︠a︡

Download or read book Linear and Quasilinear Elliptic Equations written by Olʹga Aleksandrovna Ladyzhenskai︠a︡ and published by . This book was released on 1968 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Quasilinear Parabolic Systems: Sobolev Space Theory

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470461617
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear and Quasilinear Parabolic Systems: Sobolev Space Theory by : David Hoff

Download or read book Linear and Quasilinear Parabolic Systems: Sobolev Space Theory written by David Hoff and published by American Mathematical Soc.. This book was released on 2020-11-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.

Stability Theory of Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486150135
Total Pages : 178 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Stability Theory of Differential Equations by : Richard Bellman

Download or read book Stability Theory of Differential Equations written by Richard Bellman and published by Courier Corporation. This book was released on 2013-02-20 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.

Second Order Equations of Elliptic and Parabolic Type

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897812
Total Pages : 224 pages
Book Rating : 4.8/5 (978 download)

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Book Synopsis Second Order Equations of Elliptic and Parabolic Type by : E. M. Landis

Download or read book Second Order Equations of Elliptic and Parabolic Type written by E. M. Landis and published by American Mathematical Soc.. This book was released on 1997-12-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.

Fine Regularity of Solutions of Elliptic Partial Differential Equations

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821803352
Total Pages : 309 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fine Regularity of Solutions of Elliptic Partial Differential Equations by : Jan Malý

Download or read book Fine Regularity of Solutions of Elliptic Partial Differential Equations written by Jan Malý and published by American Mathematical Soc.. This book was released on 1997 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.