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 | : Vladimir Maz'ya |
| Publisher | : Birkhäuser |
| Total Pages | : 313 |
| Release | : 2017-02-23 |
| Genre | : Mathematics |
| ISBN | : 3319470795 |
Download Recent Trends in Operator Theory and Partial Differential Equations Book in PDF, ePub and Kindle
This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.
| 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 | : V. Lakshmikantham |
| Publisher | : Academic Press |
| Total Pages | : 389 |
| Release | : 1969 |
| Genre | : Computers |
| ISBN | : 0080955630 |
Download Differential and Integral Inequalities: Theory and Applications Book in PDF, ePub and Kindle
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applications of differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
| Author | : Mikhail Zhitomirskiĭ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 194 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780821897423 |
Download Typical Singularities of Differential 1-forms and Pfaffian Equations Book in PDF, ePub and Kindle
Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskii presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.
| Author | : Oswald Veblen |
| Publisher | : Cambridge University Press |
| Total Pages | : 116 |
| Release | : 2004-06-03 |
| Genre | : Mathematics |
| ISBN | : 9780521604840 |
Download Invariants of Quadratic Differential Forms Book in PDF, ePub and Kindle
An early tract for students of differential geometry and mathematical physics.
| Author | : Joseph Edmund Wright |
| Publisher | : |
| Total Pages | : 108 |
| Release | : 1908 |
| Genre | : Differential forms |
| ISBN | : |
Download Invariants of Quadratic Differential Forms Book in PDF, ePub and Kindle
| 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 | : |
| 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 | : S. L. Sobolev |
| Publisher | : Courier Corporation |
| Total Pages | : 452 |
| Release | : 1964-01-01 |
| Genre | : Science |
| ISBN | : 9780486659640 |
Download Partial Differential Equations of Mathematical Physics Book in PDF, ePub and Kindle
This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
