Weighted Inequalities And Degenerate Elliptic Partial Differential Equations
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Author |
: E.W. Stredulinsky |
Publisher |
: Springer |
Total Pages |
: 149 |
Release |
: 2006-12-08 |
ISBN-10 |
: 9783540389286 |
ISBN-13 |
: 3540389288 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Weighted Inequalities and Degenerate Elliptic Partial Differential Equations by : E.W. Stredulinsky
Author |
: Edward W. Stredulinsky |
Publisher |
: |
Total Pages |
: 142 |
Release |
: 1984 |
ISBN-10 |
: OCLC:227618151 |
ISBN-13 |
: |
Rating |
: 4/5 (51 Downloads) |
Synopsis Weighted Inequalities and Degenerate Elliptic Partial Differential Equations by : Edward W. Stredulinsky
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 |
: |
Publisher |
: |
Total Pages |
: 142 |
Release |
: 1984 |
ISBN-10 |
: OCLC:557247315 |
ISBN-13 |
: |
Rating |
: 4/5 (15 Downloads) |
Synopsis Weighted Inequalities and Degenerate Elliptic Partial Differential Equations by :
Author |
: Edward William Stredulinsky |
Publisher |
: |
Total Pages |
: 450 |
Release |
: 1981 |
ISBN-10 |
: OCLC:9333032 |
ISBN-13 |
: |
Rating |
: 4/5 (32 Downloads) |
Synopsis Weighted Inequalities and Applications to Degenerate Elliptic Partial Differential Equations by : Edward William Stredulinsky
Author |
: Albo Carlos Cavalheiro |
Publisher |
: Cambridge Scholars Publishing |
Total Pages |
: 333 |
Release |
: 2023-09-29 |
ISBN-10 |
: 9781527551671 |
ISBN-13 |
: 1527551679 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Weighted Sobolev Spaces and Degenerate Elliptic Equations by : Albo Carlos Cavalheiro
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 |
: Serge Levendorskii |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 442 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9789401712156 |
ISBN-13 |
: 9401712158 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Degenerate Elliptic Equations by : Serge Levendorskii
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 |
Publisher |
: Birkhäuser |
Total Pages |
: 319 |
Release |
: 2017-02-20 |
ISBN-10 |
: 9783319527420 |
ISBN-13 |
: 3319527428 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Harmonic Analysis, Partial Differential Equations and Applications by : Sagun Chanillo
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 |
: Bengt O. Turesson |
Publisher |
: Springer |
Total Pages |
: 188 |
Release |
: 2007-05-06 |
ISBN-10 |
: 9783540451686 |
ISBN-13 |
: 3540451684 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Nonlinear Potential Theory and Weighted Sobolev Spaces by : Bengt O. Turesson
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.
Author |
: |
Publisher |
: |
Total Pages |
: 1278 |
Release |
: 1984 |
ISBN-10 |
: UIUC:30112075701398 |
ISBN-13 |
: |
Rating |
: 4/5 (98 Downloads) |
Synopsis Scientific and Technical Aerospace Reports by :
Author |
: Ioseb Genebashvili |
Publisher |
: CRC Press |
Total Pages |
: 432 |
Release |
: 1997-05-15 |
ISBN-10 |
: 0582302951 |
ISBN-13 |
: 9780582302952 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Weight Theory for Integral Transforms on Spaces of Homogeneous Type by : Ioseb Genebashvili
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.