Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Title | Weighted Inequalities and Degenerate Elliptic Partial Differential Equations PDF eBook |
Author | E.W. Stredulinsky |
Publisher | Springer |
Pages | 149 |
Release | 2006-12-08 |
Genre | Mathematics |
ISBN | 3540389288 |
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Title | Weighted Inequalities and Degenerate Elliptic Partial Differential Equations PDF eBook |
Author | Edward W. Stredulinsky |
Publisher | |
Pages | 142 |
Release | 1984 |
Genre | |
ISBN |
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
Title | Degenerate Elliptic Equations PDF eBook |
Author | Serge Levendorskii |
Publisher | Springer Science & Business Media |
Pages | 442 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 9401712158 |
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.
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 1278 |
Release | 1984 |
Genre | Aeronautics |
ISBN |
Weight Theory for Integral Transforms on Spaces of Homogeneous Type
Title | Weight Theory for Integral Transforms on Spaces of Homogeneous Type PDF eBook |
Author | Ioseb Genebashvili |
Publisher | CRC Press |
Pages | 432 |
Release | 1997-05-15 |
Genre | Mathematics |
ISBN | 9780582302952 |
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.
Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients
Title | Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients PDF eBook |
Author | Lyudmila Korobenko |
Publisher | American Mathematical Soc. |
Pages | 130 |
Release | 2021-06-21 |
Genre | Education |
ISBN | 1470444011 |
View the abstract: https://bookstore.ams.org/memo-269-1311/
Differential Equations in Banach Spaces
Title | Differential Equations in Banach Spaces PDF eBook |
Author | Angelo Favini |
Publisher | Springer |
Pages | 309 |
Release | 2006-12-08 |
Genre | Mathematics |
ISBN | 3540473505 |