The Ab Program In Geometric Analysis Sharp Sobolev Inequalities And Related Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Ab Program In Geometric Analysis Sharp Sobolev Inequalities And Related Problems PDF full book. Access full book title The Ab Program In Geometric Analysis Sharp Sobolev Inequalities And Related Problems.
Author | : Olivier Druet |
Publisher | : |
Total Pages | : 98 |
Release | : 2014-09-11 |
Genre | : Riemannian manifolds |
ISBN | : 9781470403591 |
Download The AB Program in Geometric Analysis Book in PDF, ePub and Kindle
Euclidean background Statement of the $AB$ program Some historical motivations The $H^2_1$-inequality--Part I The $H^2_1$-inequality--Part II PDE methods The isoperimetric inequality The $H^p_1$-inequalities, $1
Author | : Olivier Druet |
Publisher | : American Mathematical Soc. |
Total Pages | : 113 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829890 |
Download The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems Book in PDF, ePub and Kindle
Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.
Author | : Abbas Bahri |
Publisher | : American Mathematical Soc. |
Total Pages | : 266 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821836358 |
Download Noncompact Problems at the Intersection of Geometry, Analysis, and Topology Book in PDF, ePub and Kindle
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. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.
Author | : Dorin Andrica |
Publisher | : Springer Nature |
Total Pages | : 848 |
Release | : 2019-11-14 |
Genre | : Mathematics |
ISBN | : 3030274071 |
Download Differential and Integral Inequalities Book in PDF, ePub and Kindle
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Author | : Paul Baird |
Publisher | : Birkhäuser |
Total Pages | : 158 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879687 |
Download Variational Problems in Riemannian Geometry Book in PDF, ePub and Kindle
This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.
Author | : Dominique Bakry |
Publisher | : Springer Science & Business Media |
Total Pages | : 555 |
Release | : 2013-11-18 |
Genre | : Mathematics |
ISBN | : 3319002279 |
Download Analysis and Geometry of Markov Diffusion Operators Book in PDF, ePub and Kindle
The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
Author | : Olivier Druet |
Publisher | : Princeton University Press |
Total Pages | : 227 |
Release | : 2009-01-10 |
Genre | : Mathematics |
ISBN | : 1400826160 |
Download Blow-up Theory for Elliptic PDEs in Riemannian Geometry Book in PDF, ePub and Kindle
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.
Author | : Michel Chipot |
Publisher | : Elsevier |
Total Pages | : 618 |
Release | : 2011-08-11 |
Genre | : Mathematics |
ISBN | : 0080560598 |
Download Handbook of Differential Equations: Stationary Partial Differential Equations Book in PDF, ePub and Kindle
This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems. * Collection of self-contained, state-of-the-art surveys * Written by well-known experts in the field * Informs and updates on all the latest developments
Author | : Shouhei Honda |
Publisher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 2018-05-29 |
Genre | : Geometry, Differential |
ISBN | : 1470428547 |
Download Elliptic PDEs on Compact Ricci Limit Spaces and Applications Book in PDF, ePub and Kindle
In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.
Author | : Hansjörg Geiges |
Publisher | : American Mathematical Soc. |
Total Pages | : 74 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833154 |
Download $h$-Principles and Flexibility in Geometry Book in PDF, ePub and Kindle
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).