Sebastian Bechtel

activity

20182026

most citedInterpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

18 citations · 49 across the 8 of their papers we have counts for

collaborators

9 papers

math.AP2026

The Kato square root estimate with Robin boundary conditions

Sebastian Bechtel, Andreas Rosén

We prove the Kato square root estimate for second-order divergence form elliptic operators $- d i v (A \nabla)$ on a bounded, locally uniform domain $D \subseteq R^{n}$ , for accr…

math.FA2024

A second order approach to the Kato square root problem on open sets

Sebastian Bechtel, Cody Hutcheson, Tim Schmatzler +2

We obtain the Kato square root property for coupled second-order elliptic systems in divergence form subject to mixed boundary conditions on an open and possibly unbounded set in $…

math.FA2023

Hardy spaces adapted to elliptic operators on open sets

Sebastian Bechtel, Tim Böhnlein

Let $L = - div (A \nabla \cdot)$ be an elliptic operator defined on an open subset of $R^{d}$ , complemented with mixed boundary conditions. Under suitable assumption…

math.AP2022★ 2 cited

Weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for complex systems

Sebastian Bechtel

We show weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for families of complex second-order systems in divergence form under a mixed regularity condition in space and time.…

math.AP2022★ 2 cited

Off-diagonal bounds for the Dirichlet-to-Neumann operator

Sebastian Bechtel, E. -M. Ouhabaz

Let $Ω$ be a bounded domain of $R^{n + 1}$ with $n \geq 1$ . We assume that the boundary $Γ$ of $Ω$ is Lipschitz. Consider the Dirichlet-to-Neumann operator $N_{0}$ associated w…

math.AP2022★ 8 cited

$L^{p}$ -estimates for the square root of elliptic systems with mixed boundary conditions II

Sebastian Bechtel

We show $L^{p}$ estimates for square roots of second order complex elliptic systems $L$ in divergence form on open sets in $R^{d}$ subject to mixed boundary conditions. The un…

math.FA2020★ 5 cited

The extension problem for fractional Sobolev spaces with a partial vanishing trace condition

Sebastian Bechtel

We construct whole-space extensions of functions in a fractional Sobolev space of order $s \in (0, 1)$ and integrability $p \in (0, \infty)$ on an open set $O$ which vanish in a suitab…

math.FA2019★ 14 cited

The Kato Square Root Problem on locally uniform domains

Sebastian Bechtel, Moritz Egert, Robert Haller-Dintelmann

We obtain the Kato square root estimate for second order elliptic operators in divergence form with mixed boundary conditions on an open and possibly unbounded set in $\mathbb{R}^d…

math.CA2018★ 18 cited

Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

Sebastian Bechtel, Moritz Egert

A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and vanishing trace on a part of the boundary of an open set is established. Geometric assumptions…

The Kato square root estimate with Robin boundary conditions

A second order approach to the Kato square root problem on open sets

Hardy spaces adapted to elliptic operators on open sets

Weighted non-autonomous Lq(Lp) maximal regularity for complex systems

Off-diagonal bounds for the Dirichlet-to-Neumann operator

Lp-estimates for the square root of elliptic systems with mixed boundary conditions II

The extension problem for fractional Sobolev spaces with a partial vanishing trace condition

The Kato Square Root Problem on locally uniform domains

Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets

Weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for complex systems

$L^{p}$ -estimates for the square root of elliptic systems with mixed boundary conditions II