Martin Ulmer

collaborators

3 papers

math.AP2025

Equivalence between solvability of the Dirichlet and Regularity problem under an $L^{1}$ Carleson condition on $\partial_{t} A$

Martin Ulmer

We study an elliptic operator $L := div (A \nabla \cdot)$ on the upper half space. It is known that solvability of the Regularity problem in $W ˙^{1, p}$ implies solvabilit…

math.AP2025

The regularity problem with a weaker condition on only the transversal direction

Martin Ulmer

We study an elliptic operator $L := div (A \nabla \cdot)$ on the upper half space. It is known that if the matrix $A$ is independent in the transversal $t$ -direction, then the…

math.AP2025

Solvability of the Dirichlet problem using a weaker Carleson condition in the upper half plane

Martin Ulmer

We study an elliptic operator $L := div (A \nabla \cdot)$ on the upper half plane $R_{+}^{2}$ . There are several conditions on the behavior of the matrix $A$ in the trans…

Equivalence between solvability of the Dirichlet and Regularity problem under an L1 Carleson condition on ∂t​A

The regularity problem with a weaker condition on only the transversal direction

Solvability of the Dirichlet problem using a weaker Carleson condition in the upper half plane

Equivalence between solvability of the Dirichlet and Regularity problem under an $L^{1}$ Carleson condition on $\partial_{t} A$