In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …

Periodic Homogenization of Elliptic Systems Page 1 Operator Theory Advances and
Applications 269 Zhongwei Shen Periodic Homogenization of Elliptic Systems Page 2 Page 3 …

The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …

We study rates of convergence of solutions in L 2 and H 1/2 for a family of elliptic systems {L
_ ε\} with rapidly oscillating coefficients in Lipschitz domains with Dirichlet or Neumann …

The goal of this work is to treat the main boundary value problems for the Stokes system,
ie,(i) the Dirichlet problem with Lp-data and nontangential maximal function estimates,(ii) the …

In the late 1950s and early 1960s, the work of De Giorgi [DeGi] and Nash [N], and then
Moser [Mo], initiated the study of regularity of solutions to divergence form elliptic equations …

Spectral boundary-value problems with discrete spectrum are considered for second-order
strongly elliptic systems of partial differential equations in a domain whose boundary is …

We establish uniform Lipschitz estimates for second‐order elliptic systems in divergence
form with rapidly oscillating, almost‐periodic coefficients. We give interior estimates as well …

We continue the development, by reduction to a first-order system for the conormal gradient,
of L 2 a priori estimates and solvability for boundary value problems of Dirichlet, regularity …

We continue a program to develop layer potential techniques for PDE on Lipschitz domains
in Riemannian manifolds. Building on Lp and Hardy space estimates established in …