8 citations · 9 across the 7 of their papers we have counts for
7 papers · 1 filter
The -Stokes Semigroup
Tim Binz, Anatole Gaudin
We study the Stokes operator with no-slip boundary conditions on the spaces and , wher…
The Boussinesq system in 3-dimensional bounded rough domains: Well-posedness in critical spaces and long-time behavior
Anatole Gaudin
We study the three-dimensional Boussinesq system in bounded rough domains, including bounded Lipschitz and domains, within a critical functional framework. We es…
Optimal regularity results for the Stokes--Dirichlet problem
Dominic Breit, Anatole Gaudin
We develop a sharp maximal regularity theory for the resolvent and evolution Stokes equations with no-slip boundary conditions, focusing on bounded domains of low regularity. Our f…
Homogeneous Sobolev and Besov spaces on special Lipschitz domains and their traces
Anatole Gaudin
We aim to contribute to the folklore of function spaces on Lipschitz domains. We prove the boundedness of the trace operator for homogeneous Sobolev and Besov spaces on a special L…
Hodge decompositions and maximal regularities for Hodge Laplacians in homogeneous function spaces on the half-space
Anatole Gaudin
In this article, the Hodge decomposition for any degree of differential forms is investigated on the whole space and the half-space on different sca…
Homogeneous Sobolev global-in-time maximal regularity and related trace estimates
Anatole Gaudin
In this paper, we prove global-in-time -maximal regularity for a class of injective, but not invertible, sectorial operators on a UMD Banach space X , provi…
On homogeneous Sobolev and Besov spaces on the whole and the half space
Anatole Gaudin
In this paper, we propose an elementary construction of homogeneous Sobolev spaces of fractional order on and . This construction completes the const…