Elliptic Boundary Value Problems In The Spaces Of Distributions
DOWNLOAD
Download Elliptic Boundary Value Problems In The Spaces Of Distributions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Elliptic Boundary Value Problems In The Spaces Of Distributions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Elliptic Boundary Value Problems In The Spaces Of Distributions
DOWNLOAD
Author : Y. Roitberg
language : en
Publisher:
Release Date : 2014-01-15
Elliptic Boundary Value Problems In The Spaces Of Distributions written by Y. Roitberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Distributions And Operators
DOWNLOAD
Author : Gerd Grubb
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-10
Distributions And Operators written by Gerd Grubb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-10 with Mathematics categories.
This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.
Functional Spaces For The Theory Of Elliptic Partial Differential Equations
DOWNLOAD
Author : Françoise Demengel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-24
Functional Spaces For The Theory Of Elliptic Partial Differential Equations written by Françoise Demengel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-24 with Mathematics categories.
The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions. This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. The book also considers other kinds of functional spaces which are useful for treating variational problems such as the minimal surface problem. The main purpose of the book is to provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on the Schwartz space. There are complete and detailed proofs of almost all the results announced and, in some cases, more than one proof is provided in order to highlight different features of the result. Each chapter concludes with a range of exercises of varying levels of difficulty, with hints to solutions provided for many of them.
Elliptic Problems In Nonsmooth Domains
DOWNLOAD
Author : Pierre Grisvard
language : en
Publisher: SIAM
Release Date : 2011-10-20
Elliptic Problems In Nonsmooth Domains written by Pierre Grisvard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Mathematics categories.
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In Volumes 1 and 2, we studied, for particular classes of systems {[capital italic]P, [capital italic]Q[lowercase italic subscript]j}, problems in classes of Sobolev spaces (in general constructed starting from [capital italic]L2) of positive integer or (by interpolation) non-integer order; then, by transposition, in classes of Sobolev spaces of negative order, until, by passage to the limit on the order, we reached the spaces of distributions of finite order. In this volume, we study the analogous problems in spaces of infinitely differentiable or analytic functions or of Gevrey-type functions and by duality, in spaces of distributions, of analytic functionals or of Gevrey-type ultra-distributions. In this manner, we obtain a clear vision (at least we hope so) of the various possible formulations of the boundary value problems for the systems {[capital italic]P, [capital italic]Q[lowercase italic subscript]j} considered here.
Elliptic Boundary Value Problems In The Spaces Of Distributions
DOWNLOAD
Author : Y. Roitberg
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-10-31
Elliptic Boundary Value Problems In The Spaces Of Distributions written by Y. Roitberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-31 with Mathematics categories.
Summarizes the latest information on theorems of isomorphisms and their applications, dealing with the theory of solvability in generalized functions of general boundary-value problems for elliptic equations. Contains chapters on areas such as functional spaces, a theorem on complete collection of isomorphisms, elliptic problems with power singularities on right-hand sides, and elliptic boundary-value problems for systems of equations. Of interest to mathematicians whose work involves partial differential equations, functional analysis, operator theory, and the mathematics of mechanics. Annotation copyrighted by Book News, Inc., Portland, OR
Semigroups Boundary Value Problems And Markov Processes
DOWNLOAD
Author : Kazuaki Taira
language : en
Publisher: Springer
Release Date : 2014-08-07
Semigroups Boundary Value Problems And Markov Processes written by Kazuaki Taira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-07 with Mathematics categories.
A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumps and continuously in the state space until it 'dies' at the time when it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eight re-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with Notes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors in the first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bibliography. Researchers and graduate students interested in PDEs, functional analysis and probability will find this volume useful.
A Course In Distribution Theory And Applications
DOWNLOAD
Author : R. S. Pathak
language : en
Publisher: CRC Press
Release Date : 2001
A Course In Distribution Theory And Applications written by R. S. Pathak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The book covers important topics: basic properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds. It is a largely self-contained text.".
Boundary Value Problems In The Spaces Of Distributions
DOWNLOAD
Author : Y. Roitberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Boundary Value Problems In The Spaces Of Distributions written by Y. Roitberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
This monograph presents elliptic, parabolic and hyperbolic boundary value problems for systems of mixed orders (Douglis-Nirenberg systems). For these problems the `theorem on complete collection of isomorphisms' is proven. Several applications in elasticity and hydrodynamics are treated. The book requires familiarity with the elements of functional analysis, the theory of partial differential equations, and the theory of generalized functions. Audience: This work will be of interest to graduate students and research mathematicians involved in areas such as functional analysis, partial differential equations, operator theory, the mathematics of mechanics, elasticity and viscoelasticity.
Lectures On Elliptic Boundary Value Problems
DOWNLOAD
Author : Shmuel Agmon
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-02-03
Lectures On Elliptic Boundary Value Problems written by Shmuel Agmon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-03 with Mathematics categories.
This book, which is a new edition of a book originally published in 1965, presents an introduction to the theory of higher-order elliptic boundary value problems. The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value problems. It also contains a study of spectral properties of operators associated with elliptic boundary value problems. Weyl's law on the asymptotic distribution of eigenvalues is studied in great generality.