On Weighted Sobolev Spaces
DOWNLOAD
Download On Weighted Sobolev Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On Weighted Sobolev Spaces 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
Nonlinear Potential Theory And Weighted Sobolev Spaces
DOWNLOAD
Author : Bengt O. Turesson
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-21
Nonlinear Potential Theory And Weighted Sobolev Spaces written by Bengt O. Turesson 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 2000-06-21 with Mathematics categories.
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems.
Weighted Sobolev Spaces
DOWNLOAD
Author : Alois Kufner
language : en
Publisher:
Release Date : 1980
Weighted Sobolev Spaces written by Alois Kufner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Function spaces categories.
On Weighted Sobolev Spaces
DOWNLOAD
Author : S.-K. Chua
language : en
Publisher:
Release Date : 1993
On Weighted Sobolev Spaces written by S.-K. Chua and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Some Applications Of Weighted Sobolev Spaces
DOWNLOAD
Author : Anna-Margarete Sändig
language : de
Publisher: Vieweg+Teubner Verlag
Release Date : 2014-08-23
Some Applications Of Weighted Sobolev Spaces written by Anna-Margarete Sändig and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-23 with Technology & Engineering categories.
Maximal Function Methods For Sobolev Spaces
DOWNLOAD
Author : Juha Kinnunen
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-08-02
Maximal Function Methods For Sobolev Spaces written by Juha Kinnunen 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 2021-08-02 with Education categories.
This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p p-Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.
Weighted Sobolev Spaces
DOWNLOAD
Author : Alois Kufner
language : en
Publisher:
Release Date : 1985-07-23
Weighted Sobolev Spaces written by Alois Kufner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-07-23 with Mathematics categories.
A systematic account of the subject, this book deals with properties and applications of the Sobolev spaces with weights, the weight function being dependent on the distance of a point of the definition domain from the boundary of the domain or from its parts. After an introduction of definitions, examples and auxilliary results, it describes the study of properties of Sobolev spaces with power-type weights, and analogous problems for weights of a more general type. The concluding chapter addresses applications of weighted spaces to the solution of the Dirichlet problem for an elliptic linear differential operator.
Sobolev Spaces
DOWNLOAD
Author : Vladimir Maz'ya
language : en
Publisher: Springer
Release Date : 2014-10-05
Sobolev Spaces written by Vladimir Maz'ya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-05 with Mathematics categories.
The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear par tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q
Weighted Sobolev Spaces And Degenerate Elliptic Equations
DOWNLOAD
Author : Albo Carlos Cavalheiro
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-09-29
Weighted Sobolev Spaces And Degenerate Elliptic Equations written by Albo Carlos Cavalheiro and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Mathematics categories.
In various applications, we can meet boundary value problems for elliptic equations whose ellipticity is disturbed in the sense that some degeneration or singularity appears. This bad behavior can be caused by the coefficients of the corresponding differential operator as well as by the solution itself. There are several very concrete problems in various practices which lead to such differential equations, such as glaciology, non-Newtonian fluid mechanics, flows through porous media, differential geometry, celestial mechanics, climatology, and reaction-diffusion problems, among others. This book is based on research by the author on degenerate elliptic equations. This book will be a useful reference source for graduate students and researchers interested in differential equations.
Some Applications Of Weighted Sobolev Spaces
DOWNLOAD
Author : Alois Kufner
language : en
Publisher: Vieweg+teubner Verlag
Release Date : 1987-11
Some Applications Of Weighted Sobolev Spaces written by Alois Kufner and has been published by Vieweg+teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11 with Technology & Engineering categories.
A First Course In Sobolev Spaces
DOWNLOAD
Author : Giovanni Leoni
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-17
A First Course In Sobolev Spaces written by Giovanni Leoni and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-17 with Mathematics categories.
This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutely continuous, and bounded variation functions of one variable and their relationship with Lebesgue–Stieltjes measures and Sobolev functions. It also studies decreasing rearrangement and curves. The second edition includes a chapter on functions mapping time into Banach spaces. The second part of the book studies functions of several variables. It begins with an overview of classical results such as Rademacher's and Stepanoff's differentiability theorems, Whitney's extension theorem, Brouwer's fixed point theorem, and the divergence theorem for Lipschitz domains. It then moves to distributions, Fourier transforms and tempered distributions. The remaining chapters are a treatise on Sobolev functions. The second edition focuses more on higher order derivatives and it includes the interpolation theorems of Gagliardo and Nirenberg. It studies embedding theorems, extension domains, chain rule, superposition, Poincaré's inequalities and traces. A major change compared to the first edition is the chapter on Besov spaces, which are now treated using interpolation theory.