Topological Methods for Variational Problems with Symmetries

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Publisher : Springer
ISBN 13 : 3540480994
Total Pages : 162 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topological Methods for Variational Problems with Symmetries by : Thomas Bartsch

Download or read book Topological Methods for Variational Problems with Symmetries written by Thomas Bartsch and published by Springer. This book was released on 2006-11-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is looking for "special" solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed.

Integrable Systems in the realm of Algebraic Geometry

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Publisher : Springer
ISBN 13 : 3662215357
Total Pages : 226 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Integrable Systems in the realm of Algebraic Geometry by : Pol Vanhaecke

Download or read book Integrable Systems in the realm of Algebraic Geometry written by Pol Vanhaecke and published by Springer. This book was released on 2013-11-11 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed.

Potential Theory - Selected Topics

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Publisher : Springer
ISBN 13 : 3540699910
Total Pages : 208 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Potential Theory - Selected Topics by : Hiroaki Aikawa

Download or read book Potential Theory - Selected Topics written by Hiroaki Aikawa and published by Springer. This book was released on 2006-11-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis.

Banach-hilbert Spaces, Vector Measures And Group Representations

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813105984
Total Pages : 622 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Banach-hilbert Spaces, Vector Measures And Group Representations by : Tsoy-wo Ma

Download or read book Banach-hilbert Spaces, Vector Measures And Group Representations written by Tsoy-wo Ma and published by World Scientific Publishing Company. This book was released on 2002-06-13 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinitedimensional analogue of measure theory on finitedimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.

Handbook of Differential Equations: Ordinary Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080461085
Total Pages : 583 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Differential Equations: Ordinary Differential Equations by : A. Canada

Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by A. Canada and published by Elsevier. This book was released on 2005-09-02 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, writtenby leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields, in order to make the chapters of the volume accessible to a wide audience. . Six chapters covering a variety of problems in ordinary differential equations. . Both, pure mathematical research and real word applications are reflected. Written by leading researchers in the area.

Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis

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Publisher : World Scientific
ISBN 13 : 9814492949
Total Pages : 468 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis by : Kung-ching Chang

Download or read book Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis written by Kung-ching Chang and published by World Scientific. This book was released on 2000-07-24 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear. Based on the efforts of scientists in the 20th century, especially in the last three decades, topological, variational, geometrical and other methods have developed rapidly in nonlinear analysis, which made direct studies of nonlinear models possible in many cases, and provided global information on nonlinear problems which was not available by the traditional linearization method. This volume reflects that rapid development in many areas of nonlinear analysis.

Finsler Metrics - A Global Approach

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Publisher : Springer
ISBN 13 : 354048812X
Total Pages : 185 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Finsler Metrics - A Global Approach by : Marco Abate

Download or read book Finsler Metrics - A Global Approach written by Marco Abate and published by Springer. This book was released on 2006-11-15 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampère equations are discussed for Finsler manifolds with constant holomorphic curvature, which are important in geometric function theory. Following E. Cartan, S.S. Chern and S. Kobayashi, the global approach carries the full strength of hermitian geometry of vector bundles avoiding cumbersome computations, and thus fosters applications in other fields.

Seminaire de Probabilites XXXI

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Publisher : Springer
ISBN 13 : 3540683526
Total Pages : 342 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Seminaire de Probabilites XXXI by : Jacques Azema

Download or read book Seminaire de Probabilites XXXI written by Jacques Azema and published by Springer. This book was released on 2008-05-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 31 papers collected here present original research results obtained in 1995-96, on Brownian motion and, more generally, diffusion processes, martingales, Wiener spaces, polymer measures.

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.

Nonlinear Potential Theory and Weighted Sobolev Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540675884
Total Pages : 196 pages
Book Rating : 4.6/5 (758 download)

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Book Synopsis Nonlinear Potential Theory and Weighted Sobolev Spaces by : Bengt O. Turesson

Download or read book Nonlinear Potential Theory and Weighted Sobolev Spaces written by Bengt O. Turesson and published by Springer Science & Business Media. This book was released on 2000-06-21 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems.

Potential Theory on Infinite Networks

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Publisher : Springer
ISBN 13 : 3540487980
Total Pages : 199 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Potential Theory on Infinite Networks by : Paolo M. Soardi

Download or read book Potential Theory on Infinite Networks written by Paolo M. Soardi and published by Springer. This book was released on 2006-11-15 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

Difference Spaces and Invariant Linear Forms

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Publisher : Springer
ISBN 13 : 3540486526
Total Pages : 198 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Difference Spaces and Invariant Linear Forms by : Rodney Nillsen

Download or read book Difference Spaces and Invariant Linear Forms written by Rodney Nillsen and published by Springer. This book was released on 2006-11-15 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.

Nonlinear Analysis and Optimization II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848356
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Analysis and Optimization II by : Simeon Reich

Download or read book Nonlinear Analysis and Optimization II written by Simeon Reich and published by American Mathematical Soc.. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)

On Artin's Conjecture for Odd 2-dimensional Representations

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Publisher : Springer
ISBN 13 : 354048681X
Total Pages : 160 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis On Artin's Conjecture for Odd 2-dimensional Representations by : Gerhard Frey

Download or read book On Artin's Conjecture for Odd 2-dimensional Representations written by Gerhard Frey and published by Springer. This book was released on 2006-11-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.

Phase Transitions and Hysteresis

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Publisher : Springer
ISBN 13 : 354048678X
Total Pages : 301 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Phase Transitions and Hysteresis by : Augusto Visintin

Download or read book Phase Transitions and Hysteresis written by Augusto Visintin and published by Springer. This book was released on 2006-11-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

Flows on 2-dimensional Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540660804
Total Pages : 324 pages
Book Rating : 4.6/5 (68 download)

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Book Synopsis Flows on 2-dimensional Manifolds by : Igor Nikolaev

Download or read book Flows on 2-dimensional Manifolds written by Igor Nikolaev and published by Springer Science & Business Media. This book was released on 1999-07-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

World Congress of Nonlinear Analysts '92

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham

Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt: