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| Author | : Norio Shimakura |
| Publisher | : American Mathematical Society(RI) |
| Total Pages | : 288 |
| Release | : 1992 |
| Genre | : Hypoelliptic operators |
| ISBN | : 9780821845561 |
Download Partial Differential Operators of Elliptic Type Book in PDF, ePub and Kindle
This guide presents a comprehensive study of the theory of elliptic partial differential operators. Because elliptic operators arise in many areas, it brings together a variety of techniques not normally seen together that have arisen in different branches of mathematics.
| Author | : C. Miranda |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 384 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642877737 |
Download Partial Differential Equations of Elliptic Type Book in PDF, ePub and Kindle
In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo sition, in some cases in summary form, of the various techniques used in the study of these equations.
| Author | : Jan Malý |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 309 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821803352 |
Download Fine Regularity of Solutions of Elliptic Partial Differential Equations Book in PDF, ePub and Kindle
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
| Author | : |
| Publisher | : |
| Total Pages | : 288 |
| Release | : 1992 |
| Genre | : |
| ISBN | : |
Download Partial Differential Operators of elliptic type Book in PDF, ePub and Kindle
| Author | : William Norrie Everitt |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 130 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821832352 |
Download Elliptic Partial Differential Operators and Symplectic Algebra Book in PDF, ePub and Kindle
This investigation introduces a new description and classification for the set of all self-adjoint operators (not just those defined by differential boundary conditions) which are generated by a linear elliptic partial differential expression $A(\mathbf{x}, D)=\sum_{0\, \leq\, \left s\right \, \leq\,2m}a_{s} (\mathbf{x})D DEGREES{s}\;\text{for all}\;\mathbf{x}\in\Omega$ in a region $\Omega$, with compact closure $\overline{\Omega}$ and $C DEGREES{\infty }$-smooth boundary $\partial\Omega$, in Euclidean space $\mathbb{E} DEGREES{r}$ $(r\geq2).$ The order $2m\geq2$ and the spatial dimensio
| Author | : Qing Han |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 161 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0821853139 |
Download Elliptic Partial Differential Equations Book in PDF, ePub and Kindle
This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.
| Author | : Carlo Miranda |
| Publisher | : Springer-Verlag |
| Total Pages | : 385 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 3662351471 |
Download Partial Differential Equations of Elliptic Type Book in PDF, ePub and Kindle
| Author | : Angelo Alvino |
| Publisher | : Cambridge University Press |
| Total Pages | : 248 |
| Release | : 1994-08-26 |
| Genre | : Mathematics |
| ISBN | : 9780521460484 |
Download Partial Differential Equations of Elliptic Type Book in PDF, ePub and Kindle
This is a conference proceedings volume covering the latest advances in partial differential equations of elliptic type. All workers on partial differential equations will find this book contains much valuable information.
| Author | : Alexander Nagel |
| Publisher | : Princeton University Press |
| Total Pages | : 167 |
| Release | : 2015-03-08 |
| Genre | : Mathematics |
| ISBN | : 1400870488 |
Download Lectures on Pseudo-Differential Operators Book in PDF, ePub and Kindle
The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Vitaly Volpert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 649 |
| Release | : 2011-03-03 |
| Genre | : Mathematics |
| ISBN | : 3034605374 |
Download Elliptic Partial Differential Equations Book in PDF, ePub and Kindle
The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments . The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.
