David Maltese

collaborators

3 papers

math.AP2026

The omnidirectional trace in H 1 ( $I^c ◯$ )

Robert Eymard, Thierry GallouÃ«t, David Maltese +1

We first prove that all the functions in L 2 whose directional derivative is in L 2 have a directional trace on the boundary of any open bounded domain, without assumptions on its…

math.FA2026

Trace operator on H 1 ( $I^c ◯$ ) for general open bounded domains

Robert Eymard, Thierry GallouÃ«t, David Maltese +1

In the case of any bounded open set $I^c ◯$ $\subset$ R d with boundary $\partial$ $I^c ◯$ , we first construct a directional trace in any direction $I^¸$ of the unit sphere, for any u $\in…

math.AP2024

Global asymptotic expansion for anisotropic singularly perturbed elliptic problems

David Maltese, Chokri Ogabi

In this paper, we study some anisotropic singular perturbations for a class of linear elliptic problems. We show a global asymptotic expansion of the solution in certain functional…

The omnidirectional trace in H 1 (I^c◯)

Trace operator on H 1 (I^c◯) for general open bounded domains

Global asymptotic expansion for anisotropic singularly perturbed elliptic problems

The omnidirectional trace in H 1 ( $I^c ◯$ )

Trace operator on H 1 ( $I^c ◯$ ) for general open bounded domains