Author: E.W. StredulinskyPublisher: Springer
ISBN: 3540389288
Category : Mathematics
Languages : en
Pages : 149
Book Description
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Author: E.W. StredulinskyPublisher: Springer
ISBN: 3540389288
Category : Mathematics
Languages : en
Pages : 149
Book Description
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Author: Edward W. StredulinskyPublisher:
ISBN:
Category :
Languages : en
Pages : 142
Book Description
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).
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Author: Weighted Inequalities and Applications to Degenerate Elliptic Partial Differential Equations
Author: Edward William StredulinskyPublisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 450
Book Description
Weighted Sobolev Spaces and Degenerate Elliptic Equations
Author: Albo Carlos CavalheiroPublisher: Cambridge Scholars Publishing
ISBN: 1527551679
Category : Mathematics
Languages : en
Pages : 333
Book Description
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.
Degenerate Elliptic Equations
Author: Serge LevendorskiiPublisher: Springer Science & Business Media
ISBN: 9401712158
Category : Mathematics
Languages : en
Pages : 442
Book Description
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.
Harmonic Analysis, Partial Differential Equations and Applications
Author: Sagun ChanilloPublisher: Birkhäuser
ISBN: 3319527428
Category : Mathematics
Languages : en
Pages : 319
Book Description
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.
Scientific and Technical Aerospace Reports
Author: Weight Theory for Integral Transforms on Spaces of Homogeneous Type
Author: Ioseb GenebashviliPublisher: CRC Press
ISBN: 9780582302952
Category : Mathematics
Languages : en
Pages : 432
Book Description
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
Author: Lyudmila KorobenkoPublisher: American Mathematical Soc.
ISBN: 1470444011
Category : Education
Languages : en
Pages : 130
Book Description
View the abstract: https://bookstore.ams.org/memo-269-1311/