Proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ

Author: Haim Brézis,Felix E. Browder,Abbas Bahri,Sergiu Klainerman,Michael Vogelius

Publisher: American Mathematical Soc.

ISBN: 0821836358

Category: Science

Page: 252

View: 1499

This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.
Read More

AMS Special Session, Probabilitistic and Asymptotic Aspects of Group Theory, March 26-27, 2004, Athens, Ohio : AMS Special Session, Topological Aspects of Group Theory, October 16-17, 2004, Nashville, Tennessee

Author: R. I. Grigorchuk

Publisher: American Mathematical Soc.

ISBN: 0821837567

Category: Mathematics

Page: 234

View: 3472

The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
Read More

A Conference in Honor of Professor Lawrence Zalcman's Sixtieth Birthday, June 9-12, 2003, Nahariya, Israel

Author: Lawrence Allen Zalcman,Mark Lʹvovich Agranovskiĭ,Lavi Karp,David Shoiykhet

Publisher: American Mathematical Soc.

ISBN: 0821837095

Category: Mathematics

Page: 432

View: 8368

This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.
Read More

The Emphasis Year 2002-2003 Program on Nonlinear Partial Differential Equations and Related Analysis, September 2002-July 2003, Northwestern University, Evanston, Illinois

Author: Gui-Qiang Chen,George Gasper,Joseph W. Jerome

Publisher: American Mathematical Soc.

ISBN: 0821835335

Category: Mathematics

Page: 323

View: 8943

The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, Navier Stokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism.Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods for image processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations.
Read More

Proceedings in Memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel

Author: Robert Brooks,Michael Entov,Yehuda Pinchover,Michah Sageev

Publisher: American Mathematical Soc.

ISBN: 0821837109

Category: Mathematics

Page: 275

View: 918

This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952-2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szegos theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis.
Read More

Author: Toshitake Kohno

Publisher: American Mathematical Soc.

ISBN: 9780821821305

Category: Mathematics

Page: 172

View: 2508

The aim of this book is to provide the reader with an introduction to conformal field theory and its applications to topology. The author starts with a description of geometric aspects of conformal field theory based on loop groups. By means of the holonomy of conformal field theory he defines topological invariants for knots and 3-manifolds. He also gives a brief treatment of Chern-Simons perturbation theory.
Read More

Sharp Sobolev Inequalities and Related Problems

Author: Olivier Druet,Emmanuel Hebey

Publisher: American Mathematical Soc.

ISBN: 9780821864838

Category: Mathematics

Page: 98

View: 4736

Function theory and Sobolev inequalities have been the target of investigatio for decades. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ program is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. Important and significant progress has been made during recent years. We summarize the present state ad describe new results.
Read More

Author: Demetrios Christodoulou

Publisher: Princeton University Press

ISBN: 9780691049571

Category: Mathematics

Page: 319

View: 5638

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to partial differential equations of the methods of symplectic geometry and Hamilton-Jacobi theory for Lagrangian systems of ordinary differential equations. A distinguishing characteristic of this approach is that one considers, at once, entire families of solutions of the Euler-Lagrange equations, rather than restricting attention to single solutions at a time. The second part of the book develops a general theory of integral identities, the theory of "compatible currents," which extends the work of E. Noether. Finally, the third part introduces a new general definition of hyperbolicity, based on a quadratic form associated with the Lagrangian, which overcomes the obstacles arising from singularities of the characteristic variety that were encountered in previous approaches. On the basis of the new definition, the domain-of-dependence theorem and stability properties of solutions are derived. Applications to continuum mechanics are discussed throughout the book. The last chapter is devoted to the electrodynamics of nonlinear continuous media.
Read More

Author: Olivier Druet,Emmanuel Hebey,Frédéric Robert

Publisher: Princeton University Press

ISBN: 9781400826162

Category: Mathematics

Page: 224

View: 3625

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrödinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary. Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields.
Read More

Author: Lizhen Ji

Publisher: International Pressof Boston Incorporated

ISBN: 9781571461261

Category: Mathematics

Page: 468

View: 7453

Discrete subgroups of Lie groups are foundational objects in modern mathematics and occur naturally in different subjects. This new volume presents 15 papers treating discrete groups as they occur in areas such as algebra, analysis, geometry, number theory, and topology. Most of the papers are surveys, and the volume is intended to help graduate students and researchers better understand the structures and applications of discrete subgroups of Lie groups and locally symmetric spaces.
Read More

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964920

Category: Mathematics

Page: 862

View: 425

Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Read More

Author: Cornell University. Dept. of Mathematics

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6708

Read More

Author: Yum-Tong Siu

Publisher: American Mathematical Soc.

ISBN: 082181446X

Category: Mathematics

Page: 297

View: 1909

These proceedings are a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. At the symposium, H. Grauert, J. J. Kohn, M. Schneider, H. Skoda and S. T. Yau delivered one-hour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized half-hour talks. The book contains a selection of the presented papers as well as some contributed papers.
Read More

Computer Graphics of Steiner and Boy Surfaces

Author: Francois Apery

Publisher: Springer-Verlag

ISBN: 3322895696

Category: Technology & Engineering

Page: 156

View: 7639

In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.
Read More