Calderon Zygmund Inequality For Differential Forms On Compact Riemannian Manifolds PDF Download
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Author | : Caitlin Yih Wang |
Publisher | : |
Total Pages | : 132 |
Release | : 1998 |
Genre | : |
ISBN | : |
Download Calderón-Zygmund Inequality for Differential Forms on Compact Riemannian Manifolds Book in PDF, ePub and Kindle
Author | : Ravi P. Agarwal |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 2009-09-19 |
Genre | : Mathematics |
ISBN | : 0387684174 |
Download Inequalities for Differential Forms Book in PDF, ePub and Kindle
This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. The presentation focuses on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are discussed next. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous presentation requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.
Author | : Melvyn S. Berger |
Publisher | : Academic Press |
Total Pages | : 439 |
Release | : 1977-10-27 |
Genre | : Mathematics |
ISBN | : 0080570445 |
Download Nonlinearity and Functional Analysis Book in PDF, ePub and Kindle
Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.
Author | : Batu Güneysu |
Publisher | : Birkhäuser |
Total Pages | : 246 |
Release | : 2017-12-22 |
Genre | : Mathematics |
ISBN | : 3319689037 |
Download Covariant Schrödinger Semigroups on Riemannian Manifolds Book in PDF, ePub and Kindle
This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities. The results presented here provide the first systematic study of such operators that is sufficiently general to simultaneously treat the natural operators from quantum mechanics, such as magnetic Schrödinger operators with singular electric potentials, and those from geometry, such as squares of Dirac operators that have smooth but endomorphism-valued and possibly unbounded potentials. The book is largely self-contained, making it accessible for graduate and postgraduate students alike. Since it also includes unpublished findings and new proofs of recently published results, it will also be interesting for researchers from geometric analysis, stochastic analysis, spectral theory, and mathematical physics..
Author | : |
Publisher | : |
Total Pages | : 980 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle
Author | : Thierry Aubin |
Publisher | : Springer Science & Business Media |
Total Pages | : 215 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461257344 |
Download Nonlinear Analysis on Manifolds. Monge-Ampère Equations Book in PDF, ePub and Kindle
This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and more, analysis proves to be a very powerful means for solving geometrical problems. Conversely, geometry may help us to solve certain problems in analysis. There are several reasons why the topic is difficult and interesting. It is very large and almost unexplored. On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them. Each problem has its own particular difficulties. Nevertheless there exist some standard methods which are useful and which we must know to apply them. One should not forget that our problems are motivated by geometry, and that a geometrical argument may simplify the problem under investigation. Examples of this kind are still too rare. This work is neither a systematic study of a mathematical field nor the presentation of a lot of theoretical knowledge. On the contrary, I do my best to limit the text to the essential knowledge. I define as few concepts as possible and give only basic theorems which are useful for our topic. But I hope that the reader will find this sufficient to solve other geometrical problems by analysis.
Author | : Katrin Wehrheim |
Publisher | : European Mathematical Society |
Total Pages | : 228 |
Release | : 2004 |
Genre | : Compact groups |
ISBN | : 9783037190043 |
Download Uhlenbeck Compactness Book in PDF, ePub and Kindle
This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It guides graduate students into the analysis of Yang-Mills theory as well as serves as a reference for researchers in the field. Largely self contained, the book contains a number of appendices (e.g., on Sobolev spaces of maps between manifolds) and an introductory part covering the $L^p$-regularity theory for the inhomogenous Neumann problem.
Author | : |
Publisher | : |
Total Pages | : 806 |
Release | : 1997 |
Genre | : Dissertation abstracts |
ISBN | : |
Download American Doctoral Dissertations Book in PDF, ePub and Kindle
Author | : Michiel Hazewinkel |
Publisher | : Springer Science & Business Media |
Total Pages | : 639 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401512795 |
Download Encyclopaedia of Mathematics Book in PDF, ePub and Kindle
This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author | : Bennett Chow |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 562 |
Release | : 2007 |
Genre | : Global differential geometry |
ISBN | : 9781470413620 |
Download The Ricci Flow Book in PDF, ePub and Kindle
Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.