4 papers
Maximal regularity as a tool for partial differential equations
Sylvie Monniaux
In the last decades, a lot of progress has been made on the subject of maximal regularity. The property of maximal regularity is an a priori estimate and reads as follows: Fo…
Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains
Alan Mcintosh, Sylvie Monniaux
This paper concerns Hodge-Dirac operators D = d + acting in L p (, λ) where is a bounded open subset of R n satisfying some kind of Lipschitz condition, λ is the exterio…
The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Sylvie Monniaux, El Maati Ouhabaz
We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with…
A three line proof for traces of H1 functions on special Lipschitz domains
Sylvie Monniaux
We give a very short proof of the fact that H1 functions on Lipschitz domains have L2 traces on the boundary of the domain.