Inequalities For Differential Forms PDF Download
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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 | : Joseph Edmund Wright |
Publisher | : |
Total Pages | : 112 |
Release | : 1908 |
Genre | : Differential forms |
ISBN | : |
Download Invariants of Quadratic Differential Forms Book in PDF, ePub and Kindle
Author | : Isaac Chavel |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2001-07-23 |
Genre | : Mathematics |
ISBN | : 9780521802673 |
Download Isoperimetric Inequalities Book in PDF, ePub and Kindle
This advanced introduction emphasizes the variety of ideas, techniques, and applications of the subject.
Author | : |
Publisher | : Elsevier |
Total Pages | : 623 |
Release | : 1997-11-12 |
Genre | : Mathematics |
ISBN | : 0080534643 |
Download Inequalities for Differential and Integral Equations Book in PDF, ePub and Kindle
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students
Author | : Michael Farber |
Publisher | : American Mathematical Soc. |
Total Pages | : 262 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821835319 |
Download Topology of Closed One-Forms Book in PDF, ePub and Kindle
Farber examines the geometrical, topological, and dynamical properties of closed one-forms, highlighting the relations between their global and local features. He describes the Novikov numbers and inequalities, the universal complex and its construction, Bott-type inequalities and those with Von Neumann Betti numbers, equivariant theory, the exactness of Novikov inequalities, the Morse theory of harmonic forms, and Lusternick-Schnirelman theory. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
Author | : George A. Anastassiou |
Publisher | : Springer Science & Business Media |
Total Pages | : 672 |
Release | : 2009-05-28 |
Genre | : Mathematics |
ISBN | : 0387981284 |
Download Fractional Differentiation Inequalities Book in PDF, ePub and Kindle
In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.
Author | : Alois Kufner |
Publisher | : World Scientific |
Total Pages | : 380 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812381958 |
Download Weighted Inequalities of Hardy Type Book in PDF, ePub and Kindle
Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.
Author | : George A. Anastassiou |
Publisher | : Springer Nature |
Total Pages | : 746 |
Release | : 2019-11-23 |
Genre | : Mathematics |
ISBN | : 3030289508 |
Download Frontiers in Functional Equations and Analytic Inequalities Book in PDF, ePub and Kindle
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
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 | : Sever Silvestru Dragomir |
Publisher | : |
Total Pages | : 210 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : |
Download Some Gronwall Type Inequalities and Applications Book in PDF, ePub and Kindle
Gronwall type integral inequalities of one variable for real functions play a very important role in the Qualitative Theory of Differential Equations. The main aim of the present research monograph is to present some natural applications of Gronwall inequalities with non-linear kernels of Lipschitz type of the problems of boundedness and convergence to zero at infinity of the solutions of certain Volterra integral equations. Stability, uniform stability, uniform asymptotic stability and global asymptotic stability properties for trivial solution of certain differential system of equations are also investigated. Contents: Preface; Integral Inequalities of Gronwall Type; Inequalities for Kernels of (L)-Type; Applications to Integral Equations; Applications to Differential Equations; Index.