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 …

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 …

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 …

Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to problems in
partial differential equations Page 132 http://dx. doi. org/10.1090/conm/445/08598 …

We study boundary value problems for the time-harmonic form of the Maxwell equations, as
well as for other related systems of equations, on arbitrary Lipschitz domains in the three …

Let Ω be a bounded Lipschitz domain in Rn. We develop a new approach to the invertibility
on Lp (∂ Ω) of the layer potentials associated with elliptic equations and systems in Ω. As a …

ll«lli(n) < C||£lU(ô£î)- Page 1 proceedings of the american mathematical society Volume 123,
Number 3, March 1995 A NOTE ON THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM …

In this paper, the Dirichlet problem for Lu= 0 with data in L2 (&Q, do) or the Sobolev space
Ll2 (&Q, do) is solved for all real homogeneous constant coefficient elliptic operators L= Zjaj …

We prove the well-posedness of the transmission problem for the Laplacian across a
Lipschitz interface, with optimal non-tangential maximal function estimates, for data in …

The biharmonic Neumann problem in Lipschitz domains Page 1 Acta Math., 194 (2005), 217-279
@ 2005 by Institut Mittag-Lettter. All rights reserved The biharmonic Neumann problem in …