Author: Riccardo De Arcangelis
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
On the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form
Author: Riccardo De Arcangelis
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
An Introduction to Γ-Convergence
Author: Gianni Dal Maso
Publisher: Springer Science & Business Media
ISBN: 1461203279
Category : Mathematics
Languages : en
Pages : 351
Book Description
Publisher: Springer Science & Business Media
ISBN: 1461203279
Category : Mathematics
Languages : en
Pages : 351
Book Description
Quasilinear Degenerate Elliptic Equations in Divergence Form
Author: Pengfei Guan
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 8
Book Description
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 8
Book Description
Degenerate Elliptic Equations
Author: Serge Levendorskii
Publisher: 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.
Publisher: 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.
Fine Regularity of Solutions of Elliptic Partial Differential Equations
Author: Jan Malý
Publisher: American Mathematical Soc.
ISBN: 0821803352
Category : Mathematics
Languages : en
Pages : 309
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.
Publisher: American Mathematical Soc.
ISBN: 0821803352
Category : Mathematics
Languages : en
Pages : 309
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.
Elliptic Equations: An Introductory Course
Author: Michel Chipot
Publisher: Springer Nature
ISBN: 3031541235
Category :
Languages : en
Pages : 393
Book Description
Publisher: Springer Nature
ISBN: 3031541235
Category :
Languages : en
Pages : 393
Book Description
Weighted Sobolev Spaces and Degenerate Elliptic Equations
Author: Albo Carlos Cavalheiro
Publisher: 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.
Publisher: 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.
On the Homogenization of Degenerate Elliptic Equations in Divergence Form
Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
Author: E.W. Stredulinsky
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 156
Book Description
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 156
Book Description
The Dirichlet Problem for Elliptic and Degenerate Elliptic Equations, and Related Results
Author: Phi Long Le (Postdoctoral fellow)
Publisher:
ISBN:
Category :
Languages : en
Pages : 170
Book Description
In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semi-groups and their gradients, and then we get Lp bounds for Riesz transform and square functions associated to a degenerate elliptic operator in divergence form. Finally, we show that for a uniformly elliptic divergence form operator defined in an open set with Ahlfors-David regular boundary, BMO- solvability implies scale invariant quantitative absolute continuity of elliptic-harmonic measure with respect to surface measure.
Publisher:
ISBN:
Category :
Languages : en
Pages : 170
Book Description
In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semi-groups and their gradients, and then we get Lp bounds for Riesz transform and square functions associated to a degenerate elliptic operator in divergence form. Finally, we show that for a uniformly elliptic divergence form operator defined in an open set with Ahlfors-David regular boundary, BMO- solvability implies scale invariant quantitative absolute continuity of elliptic-harmonic measure with respect to surface measure.