Weighted Sobolev Spaces And Degenerate Elliptic Equations
Download Weighted Sobolev Spaces And Degenerate Elliptic Equations full books in PDF, epub, and Kindle. Read online free Weighted Sobolev Spaces And Degenerate Elliptic Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Weighted Sobolev Spaces and Degenerate Elliptic Equations
Author | : Albo Carlos Cavalheiro |
Publsiher | : Cambridge Scholars Publishing |
Total Pages | : 333 |
Release | : 2023-09-29 |
Genre | : Mathematics |
ISBN | : 9781527551671 |
Download Weighted Sobolev Spaces and Degenerate Elliptic Equations Book in PDF, Epub and Kindle
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.
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Author | : E.W. Stredulinsky |
Publsiher | : Springer |
Total Pages | : 149 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 9783540389286 |
Download Weighted Inequalities and Degenerate Elliptic Partial Differential Equations Book in PDF, Epub and Kindle
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
![Weighted Inequalities and Degenerate Elliptic Partial Differential Equations](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Edward W. Stredulinsky |
Publsiher | : Unknown |
Total Pages | : 142 |
Release | : 1984 |
Genre | : Electronic Book |
ISBN | : OCLC:227618151 |
Download Weighted Inequalities and Degenerate Elliptic Partial Differential Equations Book in PDF, Epub and Kindle
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).
Degenerate Elliptic Equations
Author | : Serge Levendorskii |
Publsiher | : Springer Science & Business Media |
Total Pages | : 442 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 9789401712156 |
Download Degenerate Elliptic Equations Book in PDF, Epub and Kindle
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.
Nonlinear Potential Theory and Weighted Sobolev Spaces
Author | : Bengt O. Turesson |
Publsiher | : Springer |
Total Pages | : 188 |
Release | : 2007-05-06 |
Genre | : Mathematics |
ISBN | : 9783540451686 |
Download Nonlinear Potential Theory and Weighted Sobolev Spaces Book in PDF, Epub and Kindle
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.
Nonlinear Potential Theory of Degenerate Elliptic Equations
Author | : Juha Heinonen,Tero Kipelainen,Olli Martio |
Publsiher | : Courier Dover Publications |
Total Pages | : 417 |
Release | : 2018-05-16 |
Genre | : Mathematics |
ISBN | : 9780486824253 |
Download Nonlinear Potential Theory of Degenerate Elliptic Equations Book in PDF, Epub and Kindle
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.
Sobolev Spaces in Mathematics I
Author | : Vladimir Maz'ya |
Publsiher | : Springer Science & Business Media |
Total Pages | : 395 |
Release | : 2008-12-02 |
Genre | : Mathematics |
ISBN | : 9780387856483 |
Download Sobolev Spaces in Mathematics I Book in PDF, Epub and Kindle
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.
Some Applications of Weighted Sobolev Spaces
Author | : Anna-Margarete Sändig |
Publsiher | : Springer-Verlag |
Total Pages | : 264 |
Release | : 2019-06-12 |
Genre | : Technology & Engineering |
ISBN | : 9783663113850 |
Download Some Applications of Weighted Sobolev Spaces Book in PDF, Epub and Kindle