Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Some Applications Of Weighted Sobolev Spaces
Download Some Applications Of Weighted Sobolev Spaces full books in PDF, epub, and Kindle. Read online Some Applications Of Weighted Sobolev Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Some Applications of Weighted Sobolev Spaces by : Alois Kufner
Download or read book Some Applications of Weighted Sobolev Spaces written by Alois Kufner and published by Vieweg+teubner Verlag. This book was released on 1987-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Applications of Weighted Sobolev Spaces by : Anna-Margarete Sändig
Download or read book Some Applications of Weighted Sobolev Spaces written by Anna-Margarete Sändig and published by Springer-Verlag. This book was released on 2019-06-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Potential Theory and Weighted Sobolev Spaces by : Bengt O. Turesson
Download or read book Nonlinear Potential Theory and Weighted Sobolev Spaces written by Bengt O. Turesson and published by Springer. This book was released on 2007-05-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Weighted Sobolev Spaces by : Alois Kufner
Download or read book Weighted Sobolev Spaces written by Alois Kufner and published by . This book was released on 1985-07-23 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sobolev Spaces written by Vladimir Maz'ya and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.
Download or read book Sobolev Spaces written by Vladimir Maz'ya and published by Springer. This book was released on 2013-12-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications by : Harbir Antil
Download or read book Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications written by Harbir Antil and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a new variational model in weighted Sobolev spaces with non-standard weights and applications to image processing. We show that these weights are, in general, not of Muckenhoupt type and therefore the classical analysis tools may not apply. For special cases of the weights, the resulting variational problem is known to be equivalent to the fractional Poisson problem. The trace space for the weighted Sobolev space is identified to be embedded in a weighted L2 space. We propose a finite element scheme to solve the Euler-Lagrange equations, and for the image denoising application we propose an algorithm to identify the unknown weights. The approach is illustrated on several test problems and it yields better results when compared to the existing total variation techniques.
Book Synopsis Existence and Regularity Theory in Weighted Sobolev Spaces and Applications by : Raj Narayan Dhara
Download or read book Existence and Regularity Theory in Weighted Sobolev Spaces and Applications written by Raj Narayan Dhara and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Słowa kluczowe: weighted Poincare inequality, weighted Orlicz-Sobolev spaces, weighted Orlicz-Slobodetskii spaces, isoperimetric inequalities, weighted Sobolev spaces, $p$-Laplace equation, Baire Category method, extension operator, nonhomogeneous boundaryvalue problem, trace theorem, degenerate elliptic PDEs, upper and lower bounds of eigenvalues, two weighted Poincare inequality, eigenvalue problems, nonexistence.
Book Synopsis Topics in Sobolev Spaces and Applications by : D. Bahuguna
Download or read book Topics in Sobolev Spaces and Applications written by D. Bahuguna and published by Alpha Science Int'l Ltd.. This book was released on 2002 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work covers the Sobolev spaces and their applications to many areas of differential equations. It deals with some basic results on Sobolev spaces, density theorems, and approximation theorems and embedding theorems.
Book Synopsis Maximal Function Methods for Sobolev Spaces by : Juha Kinnunen
Download or read book Maximal Function Methods for Sobolev Spaces written by Juha Kinnunen and published by American Mathematical Soc.. This book was released on 2021-08-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Certain Imbeddings of Weighted Sobolev Spaces by : Pankaj Jain
Download or read book Certain Imbeddings of Weighted Sobolev Spaces written by Pankaj Jain and published by . This book was released on 2000 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ON SOME PROPERTIES OF APPROXIMATIONS BY SPECTRAL METHODS OF WEIGHTED SOBOLEV SPACES. APPLICATION TO THE SOLUTION OF NON-LINEAR PROBLEMS by : Yvon Maday
Download or read book ON SOME PROPERTIES OF APPROXIMATIONS BY SPECTRAL METHODS OF WEIGHTED SOBOLEV SPACES. APPLICATION TO THE SOLUTION OF NON-LINEAR PROBLEMS written by Yvon Maday and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: LEGENDRE AND TCHEBYSHEV SPECTRAL APPROXIMATIONS OF BURGER'S EQUATION. APPROXIMATION OF BURGER'S EQUATION BY PSEUDO-SPECTRAL METHODS. SPECTRAL AND PSEUDO-SPECTRAL APPROXIMATIONS OF NAVIER STOKES EQUATIONS. APPROXIMATION RESULTS FOR ORTHOGONAL POLYNOMIAL IN SOBOLEV SPACES
Book Synopsis Weighted Sobolev Spaces and Degenerate Elliptic Equations by : Albo Carlos Cavalheiro
Download or read book Weighted Sobolev Spaces and Degenerate Elliptic Equations written by Albo Carlos Cavalheiro and published by Cambridge Scholars Publishing. This book was released on 2023-09-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Sobolev Spaces on Metric Measure Spaces by : Juha Heinonen
Download or read book Sobolev Spaces on Metric Measure Spaces written by Juha Heinonen and published by Cambridge University Press. This book was released on 2015-02-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray
Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.
Book Synopsis Lebesgue and Sobolev Spaces with Variable Exponents by : Lars Diening
Download or read book Lebesgue and Sobolev Spaces with Variable Exponents written by Lars Diening and published by Springer. This book was released on 2011-03-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.
Book Synopsis Properties of Functions in Weighted Sobolev Spaces by : Duong Minh Duc
Download or read book Properties of Functions in Weighted Sobolev Spaces written by Duong Minh Duc and published by . This book was released on 1987 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: