Download Full eBooks in PDF
Weighted Inequalities And Degenerate Elliptic Partial Differential Equations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Weighted Inequalities And Degenerate Elliptic Partial Differential Equations book. This book definitely worth reading, it is an incredibly well-written.
Author : E.W. Stredulinsky
Publisher : Springer
Page : 149 pages
File Size : 46,8 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540389286
Author : Edward W. Stredulinsky
Publisher : Unknown
Page : 142 pages
File Size : 51,5 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:227618151
Various weighted inequalities and weighted function spaces relevant to degenerate partial differential equations are studied. The results are applied to degenerate second order divergence form elliptic equations and systems to establish continuity of weak solutions. The methods used allow the consideration of very general classes of weights. In particular the weights are characterized for several Sobolev inequalities in terms of weighted capacities, a theorem is proven for weighted reverse Holder inequalities and a continuity estimate is established for certain weighted Sobolev spaces. (Author).
Author : Serge Levendorskii
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 43,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9789401712156
This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.
Author : Sagun Chanillo,Bruno Franchi,Guozhen Lu,Carlos Perez,Eric T. Sawyer
Publisher : Birkhäuser
Page : 301 pages
File Size : 41,7 Mb
Release : 2017-02-20
Category : Mathematics
ISBN : 9783319527420
This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L. Wheeden made profound contributions. The papers deal with Weighted Norm inequalities for classical operators like Singular integrals, fractional integrals and maximal functions that arise in Harmonic Analysis. Other papers deal with applications of Harmonic Analysis to Degenerate Elliptic equations, variational problems, Several Complex variables, Potential theory, free boundaries and boundary behavior of functions.
Author : Juha Heinonen,Tero Kipelainen,Olli Martio
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 48,8 Mb
Release : 2018-05-16
Category : Mathematics
ISBN : 9780486824253
A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.
Author : Albo Carlos Cavalheiro
Publisher : Cambridge Scholars Publishing
Page : 333 pages
File Size : 49,6 Mb
Release : 2023-09-29
Category : Mathematics
ISBN : 9781527551671
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.
Author : Marco Biroli
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401100854
Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on `Potential Theory and Degenerate Partial Differential Operators', held in Parma, Italy, February 1994.
Author : Vakhtang Kokilashvili,Miroslav Krbec
Publisher : World Scientific
Page : 248 pages
File Size : 49,5 Mb
Release : 1991-12-31
Category : Mathematics
ISBN : 9789814506281
This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian. Contents:Integral Operators in Nonweighted Orlicz ClassesMaximal Functions and Potentials in Weighted Orlicz ClassesSingular Integrals in Weighted Orlicz ClassesIntegral Operators in Weighted Zygmund ClassesFractional Maximal Function in Weighted Lorentz SpacesPotentials and Riesz Transforms in Weighted Lorentz Spaces Readership: Mathematicians, graduate students and researchers in real and complex analysis. keywords:Orlicz Space;Lorentz Space;Zygmund Space;Weighted Space;Ap Weight;Maximal Operator;Riesz Potential;Hilbert Transform;Singular Integral;Weighted Inequalities “The authors, together with various collaborators, have made important contributions to the field over the last decade … The exposition is clear with detailed proofs of all statements and the monograph will certainly be a good supplement to survey articles and books on the weighted inequalities.” Mathematical Reviews
Author : Marius Ghergu,Vicentiu RADULESCU
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 51,8 Mb
Release : 2011-10-22
Category : Mathematics
ISBN : 9783642226649
The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.
Author : Juha Kinnunen,Juha Lehrbäck,Antti Vähäkangas
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 47,9 Mb
Release : 2021-08-02
Category : Education
ISBN : 9781470465759
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.
Author : Duván Cardona
Publisher : Springer Nature
Page : 262 pages
File Size : 51,6 Mb
Release : 2024-05-23
Category : Electronic
ISBN : 9783031485794
Author : Avy Soffer
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 40,6 Mb
Release : 2019-03-12
Category : Nonlinear wave equations
ISBN : 9781470441098
This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics. The articles address the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.
Author : Yeol Je Cho,Jong Kyu Kim,Ki Sik Ha
Publisher : Nova Publishers
Page : 162 pages
File Size : 46,6 Mb
Release : 2004
Category : Computers
ISBN : 1590338596
The aim of this volume is to introduce new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.
Author : Anonim
Publisher : Unknown
Page : 1280 pages
File Size : 41,8 Mb
Release : 1984
Category : Aeronautics
ISBN : UIUC:30112075701398
Author : Ioseb Genebashvili,Amiran Gogatishvili,Vakhtang Kokilashvil,Miroslav Krbec
Publisher : CRC Press
Page : 432 pages
File Size : 49,5 Mb
Release : 1997-05-15
Category : Mathematics
ISBN : 0582302951
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.