The Kato square root problem on locally uniform domains
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 R d under …
form with mixed boundary conditions on an open and possibly unbounded set in R d under …
The Kato square root problem follows from an extrapolation property of the Laplacian
On a domain Ω⊆R^d we consider second-order elliptic systems in divergence-form with
bounded complex coefficients, realized via a sesquilinear form with domain …
bounded complex coefficients, realized via a sesquilinear form with domain …
Hardy spaces adapted to elliptic operators on open sets
S Bechtel, T Böhnlein - arXiv preprint arXiv:2311.13316, 2023 - arxiv.org
Let $ L=-\mathrm {div}(A\nabla\cdot) $ be an elliptic operator defined on an open subset of
$\mathbb {R}^ d $, complemented with mixed boundary conditions. Under suitable …
$\mathbb {R}^ d $, complemented with mixed boundary conditions. Under suitable …
Behaviour at infinity for solutions of a mixed boundary value problem via inversion
J Björn, A Mwasa - arXiv preprint arXiv:2103.15645, 2021 - arxiv.org
We study a mixed boundary value problem for the quasilinear elliptic equation $\mathop {\rm
div}\mathcal {A}(x,\nabla u (x))= 0$ in an open infinite circular half-cylinder with prescribed …
div}\mathcal {A}(x,\nabla u (x))= 0$ in an open infinite circular half-cylinder with prescribed …
On mixed boundary conditions, function spaces, and Kato's square root property
S Bechtel - 2022 - tuprints.ulb.tu-darmstadt.de
On mixed boundary conditions, function spaces, and Kato’s square root property Page 1 On
mixed boundary conditions, function spaces, and Kato’s square root property Vom Fachbereich …
mixed boundary conditions, function spaces, and Kato’s square root property Vom Fachbereich …