On the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form

On the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form PDF Author: Riccardo De Arcangelis
Publisher:
ISBN:
Category :
Languages : en
Pages : 34

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On the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form

On the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form PDF Author: Riccardo De Arcangelis
Publisher:
ISBN:
Category :
Languages : en
Pages : 34

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An Introduction to Γ-Convergence

An Introduction to Γ-Convergence PDF Author: Gianni Dal Maso
Publisher: Springer Science & Business Media
ISBN: 1461203279
Category : Mathematics
Languages : en
Pages : 351

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Quasilinear Degenerate Elliptic Equations in Divergence Form

Quasilinear Degenerate Elliptic Equations in Divergence Form PDF Author: Pengfei Guan
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 8

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Degenerate Elliptic Equations

Degenerate Elliptic Equations PDF Author: Serge Levendorskii
Publisher: Springer Science & Business Media
ISBN: 9401712158
Category : Mathematics
Languages : en
Pages : 442

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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.

Fine Regularity of Solutions of Elliptic Partial Differential Equations

Fine Regularity of Solutions of Elliptic Partial Differential Equations PDF Author: Jan Malý
Publisher: American Mathematical Soc.
ISBN: 0821803352
Category : Mathematics
Languages : en
Pages : 309

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Book Description
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Weighted Sobolev Spaces and Degenerate Elliptic Equations

Weighted Sobolev Spaces and Degenerate Elliptic Equations PDF Author: Albo Carlos Cavalheiro
Publisher: Cambridge Scholars Publishing
ISBN: 1527551679
Category : Mathematics
Languages : en
Pages : 333

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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.

Elliptic Equations: An Introductory Course

Elliptic Equations: An Introductory Course PDF Author: Michel Chipot
Publisher: Springer Nature
ISBN: 3031541235
Category :
Languages : en
Pages : 393

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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 PDF Author: Laurent Veron
Publisher: World Scientific
ISBN: 9814730343
Category : Mathematics
Languages : en
Pages : 474

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Book Description
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:

Weighted Inequalities and Degenerate Elliptic Partial Differential Equations

Weighted Inequalities and Degenerate Elliptic Partial Differential Equations PDF Author: E.W. Stredulinsky
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 156

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On the Homogenization of Degenerate Elliptic Equations in Divergence Form

On the Homogenization of Degenerate Elliptic Equations in Divergence Form PDF Author: R. de Arcangelis
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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