Degenerate Elliptic Equations


Degenerate Elliptic Equations
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Degenerate Elliptic Equations


Degenerate Elliptic Equations
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Author : Serge Levendorskii
language : en
Publisher:
Release Date : 1977

Degenerate Elliptic Equations written by Serge Levendorskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.




Nonlinear Potential Theory Of Degenerate Elliptic Equations


Nonlinear Potential Theory Of Degenerate Elliptic Equations
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Author : Juha Heinonen
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16

Nonlinear Potential Theory Of Degenerate Elliptic Equations written by Juha Heinonen and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.


A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.



Weighted Inequalities And Degenerate Elliptic Partial Differential Equations


Weighted Inequalities And Degenerate Elliptic Partial Differential Equations
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Author : E.W. Stredulinsky
language : en
Publisher: Springer
Release Date : 2006-12-08

Weighted Inequalities And Degenerate Elliptic Partial Differential Equations written by E.W. Stredulinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.




Flows Of Non Smooth Vector Fields And Degenerate Elliptic Equations


Flows Of Non Smooth Vector Fields And Degenerate Elliptic Equations
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Author : Maria Colombo
language : en
Publisher: Springer
Release Date : 2017-06-07

Flows Of Non Smooth Vector Fields And Degenerate Elliptic Equations written by Maria Colombo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-07 with Mathematics categories.


The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.​



Degenerate Elliptic Equations


Degenerate Elliptic Equations
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Author : Serge Levendorskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Degenerate Elliptic Equations written by Serge Levendorskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


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.



Weighted Inequalities And Degenerate Elliptic Partial Differential Equations


Weighted Inequalities And Degenerate Elliptic Partial Differential Equations
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Author : Edward W. Stredulinsky
language : en
Publisher:
Release Date : 1984

Weighted Inequalities And Degenerate Elliptic Partial Differential Equations written by Edward W. Stredulinsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.


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).



Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems


Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems
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Author : Veron Laurent
language : en
Publisher: World Scientific
Release Date : 2017-05-05

Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems written by Veron Laurent and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Mathematics categories.


This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.



Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order


Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order
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Author : A. V. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1984

Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order written by A. V. Ivanov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.




Weighted Sobolev Spaces And Degenerate Elliptic Equations


Weighted Sobolev Spaces And Degenerate Elliptic Equations
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Author : Albo Carlos Cavalheiro
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-09-29

Weighted Sobolev Spaces And Degenerate Elliptic Equations written by Albo Carlos Cavalheiro and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Mathematics categories.


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 Parabolic Equations


Degenerate Elliptic Parabolic Equations
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Author : Joseph John Kohn
language : en
Publisher:
Release Date : 1967

Degenerate Elliptic Parabolic Equations written by Joseph John Kohn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Boundary value problems categories.