Download or read book Extension and Restriction Theorems on Weighted Sobolev Spaces written by Seng Kee Chua and published by . This book was released on 1991 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Extension Theorems on Matrix Weighted Sobolev Spaces written by Christopher Ryan Loga and published by . This book was released on 2017-02-21 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Canadian Journal of Mathematics written by and published by . This book was released on 1996-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sobolev Spaces on Domains written by Victor I. Burenkov and published by Springer-Verlag. This book was released on 2013-07-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Indiana University Mathematics Journal written by Indiana University. Department of Mathematics and published by . This book was released on 1992 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Restriction Theorem for Sobolev Spaces written by Mohamed Mekias and published by . This book was released on 1987 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

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.

Download or read book An Introduction to Sobolev Spaces written by Erhan Pişkin and published by Bentham Science Publishers. This book was released on 2021-11-10 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sobolev spaces were firstly defined by the Russian mathematician, Sergei L. Sobolev (1908-1989) in the 1930s. Several properties of these spaces have been studied by mathematicians until today. Functions that account for existence and uniqueness, asymptotic behavior, blow up, stability and instability of the solution of many differential equations that occur in applied and in engineering sciences are carried out with the help of Sobolev spaces and embedding theorems in these spaces. An Introduction to Sobolev Spaces provides a brief introduction to Sobolev spaces at a simple level with illustrated examples. Readers will learn about the properties of these types of vector spaces and gain an understanding of advanced differential calculus and partial difference equations that are related to this topic. The contents of the book are suitable for undergraduate and graduate students, mathematicians, and engineers who have an interest in getting a quick, but carefully presented, mathematically sound, basic knowledge about Sobolev Spaces.

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Sobolev Spaces in Mathematics I written by Vladimir Maz'ya and published by Springer Science & Business Media. This book was released on 2008-12-02 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume mark’s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.

Download or read book The Imbedding Theorems for Weighted Sobolev Spaces written by Toshio Horiuchi and published by . This book was released on 1987 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multi Layer Potentials and Boundary Problems written by Irina Mitrea and published by Springer. This book was released on 2013-01-05 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach. This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney–Lebesque spaces, Whitney–Besov spaces, Whitney–Sobolev- based Lebesgue spaces, Whitney–Triebel–Lizorkin spaces,Whitney–Sobolev-based Hardy spaces, Whitney–BMO and Whitney–VMO spaces.