Author: R. de ArcangelisPublisher:
ISBN:
Category :
Languages : en
Pages : 22
Book Description
On the Homogenization of Degenerate Elliptic Equations in Divergence Form
Author: R. de ArcangelisOn the Convergence of Solutions of Degenerate Elliptic Equations in Divergence Form
Author: Riccardo De ArcangelisPublisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
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.
Quasilinear Degenerate Elliptic Equations in Divergence Form
Author: Pengfei GuanPublisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 8
Book Description
Periodic Homogenization of Elliptic Systems
Author: Zhongwei ShenPublisher: Springer
ISBN: 3319912143
Category : Mathematics
Languages : en
Pages : 295
Book Description
This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.
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).
Elliptic Equations: An Introductory Course
Author: Michel ChipotPublisher: Springer Nature
ISBN: 3031541235
Category :
Languages : en
Pages : 393
Book Description
Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations
Author: Johan ByströmAn Introduction to Γ-Convergence
Author: Gianni Dal MasoPublisher: Springer Science & Business Media
ISBN: 1461203279
Category : Mathematics
Languages : en
Pages : 351
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