Hidden Symmetry of Fully Nonlinear Boundary Conditions in Elliptic Equations

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ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Hidden Symmetry of Fully Nonlinear Boundary Conditions in Elliptic Equations by : T. J. Healey

Download or read book Hidden Symmetry of Fully Nonlinear Boundary Conditions in Elliptic Equations written by T. J. Healey and published by . This book was released on 1991 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pattern Formation in Continuous and Coupled Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461215587
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Pattern Formation in Continuous and Coupled Systems by : Martin Golubitsky

Download or read book Pattern Formation in Continuous and Coupled Systems written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.

The Symmetry Perspective

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Publisher : Birkhäuser
ISBN 13 : 3034881673
Total Pages : 338 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Symmetry Perspective by : Martin Golubitsky

Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Symmetry and Preservation of Nodal Structure in Eliptic Equations

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Symmetry and Preservation of Nodal Structure in Eliptic Equations by : Timothy J. Healey

Download or read book Symmetry and Preservation of Nodal Structure in Eliptic Equations written by Timothy J. Healey and published by . This book was released on 1991 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bifurcation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216332
Total Pages : 355 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Bifurcation Theory by : Hansjörg Kielhöfer

Download or read book Bifurcation Theory written by Hansjörg Kielhöfer and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.

Research in Progress

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Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Research in Progress by :

Download or read book Research in Progress written by and published by . This book was released on 1991 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bifurcation and Symmetry

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Publisher : Birkhäuser
ISBN 13 : 3034875363
Total Pages : 323 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Bifurcation and Symmetry by : BÖHMER

Download or read book Bifurcation and Symmetry written by BÖHMER and published by Birkhäuser. This book was released on 2013-03-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 2-7,8-14, 1991 at the Philipps University of Marburg, Germany.

Fully Nonlinear Elliptic Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804375
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fully Nonlinear Elliptic Equations by : Luis A. Caffarelli

Download or read book Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli and published by American Mathematical Soc.. This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 870 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations

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Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations by : J. I. Díaz

Download or read book Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations written by J. I. Díaz and published by . This book was released on 1985 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation.

Methods for Analysis of Nonlinear Elliptic Boundary Value Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821897560
Total Pages : 370 pages
Book Rating : 4.8/5 (975 download)

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Book Synopsis Methods for Analysis of Nonlinear Elliptic Boundary Value Problems by : I. V. Skrypnik

Download or read book Methods for Analysis of Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik and published by American Mathematical Soc.. This book was released on 1994-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.

Preservation of Nodal Structure on Global Bifurcating Solution Branches of Elliptic Equations with Symmetry

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ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Preservation of Nodal Structure on Global Bifurcating Solution Branches of Elliptic Equations with Symmetry by : Timothy J. Healey

Download or read book Preservation of Nodal Structure on Global Bifurcating Solution Branches of Elliptic Equations with Symmetry written by Timothy J. Healey and published by . This book was released on 1991 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Value Problems for Elliptic Equations and Systems

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Publisher : Chapman & Hall/CRC
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Boundary Value Problems for Elliptic Equations and Systems by : Guo Chun Wen

Download or read book Boundary Value Problems for Elliptic Equations and Systems written by Guo Chun Wen and published by Chapman & Hall/CRC. This book was released on 1990 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph mainly deals with several boundary value problems for linear and nonlinear elliptic equations and systems by using function theoretic methods. The established theory is systematic, the considered equations and systems, boundary conditions and domains are rather general. Various methods are used. As an application, the existence of nonlinear quasiconformal mappings onto canonical domains is proved.

Nonlinear Second Order Elliptic Equations

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Publisher : Springer Nature
ISBN 13 : 9819986923
Total Pages : 319 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Nonlinear Second Order Elliptic Equations by : Mingxin Wang

Download or read book Nonlinear Second Order Elliptic Equations written by Mingxin Wang and published by Springer Nature. This book was released on with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Differential Equations and Obstacle Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1489936149
Total Pages : 369 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Elliptic Differential Equations and Obstacle Problems by : Giovanni Maria Troianiello

Download or read book Elliptic Differential Equations and Obstacle Problems written by Giovanni Maria Troianiello and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of "physical" motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applied mathematics who could use an analytic presentation of the fundamental theory, which would be as general and self-contained as possible.

Nonlinear Elliptic Equations and Nonassociative Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 1470417103
Total Pages : 250 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Elliptic Equations and Nonassociative Algebras by : Nikolai Nadirashvili

Download or read book Nonlinear Elliptic Equations and Nonassociative Algebras written by Nikolai Nadirashvili and published by American Mathematical Soc.. This book was released on 2014-12-03 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations. It is shown that even in the very restricted setting of "Hessian equations", depending only on the eigenvalues of the Hessian, these equations admit homogeneous solutions of all orders compatible with known regularity for viscosity solutions provided the space dimension is five or larger. To the contrary, in dimension four or less the situation is completely different, and our results suggest strongly that there are no nonclassical homogeneous solutions at all in dimensions three and four. Thus this book gives a complete list of dimensions where nonclassical homogeneous solutions to fully nonlinear uniformly elliptic equations do exist; this should be compared with the situation of, say, ten years ago when the very existence of nonclassical viscosity solutions was not known.

Symmetry for Elliptic PDEs

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Publisher : American Mathematical Soc.
ISBN 13 : 0821858521
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symmetry for Elliptic PDEs by : Enrico Valdinoci

Download or read book Symmetry for Elliptic PDEs written by Enrico Valdinoci and published by American Mathematical Soc.. This book was released on 2010-10-18 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from the INdAM School on Symmetry for Elliptic PDEs, which was held May 25-29, 2009, in Rome, Italy. The school marked ``30 years after a conjecture of De Giorgi, and related problems'' and provided an opportunity for experts to discuss the state of the art and open questions on the subject. Motivated by the classical rigidity properties of the minimal surfaces, De Giorgi proposed the study of the one-dimensional symmetry of the monotone solutions of a semilinear, elliptic partial differential equation. Impressive advances have recently been made in this field, though many problems still remain open. Several generalizations to more complicated operators have attracted the attention of pure and applied mathematicians, both for their important theoretical problems and for their relation, among others, with the gradient theory of phase transitions and the dynamical systems.