4 papers
MIT bag model and infinite mass limit in non-smooth domains
Badreddine Benhellal, Noah Körner, Dylan Machado +1
The work is devoted to the study of Dirac operators with MIT bag boundary conditions in Euclidean domains with compact Lipschitz boundaries in arbitrary dimensions. It is shown tha…
Eigenvalue asymptotics for strong -interactions supported on curves with corners
Badreddine Benhellal, Noah Körner, Konstantin Pankrashkin
Let be a piecewise smooth closed curve with corners. We discuss the asymptotic behavior of the individual eigenvalues of the two-dimensional Schrödinger oper…
On Schrödinger operators with oblique transmission conditions on non-smooth curves
Badreddine Benhellal, Miguel Camarasa, Konstantin Pankrashkin
In a recent paper Behrndt, Holzmann, and Stenzel introduced a new class of two-dimensional Schrödinger operators with oblique transmissions along smooth curves. We extend most comp…
On Neumann-Poincaré operators and self-adjoint transmission problems
Badreddine Benhellal, Konstantin Pankrashkin
We discuss the self-adjointness in -setting of the operators acting as , with piecewise constant functions having a jump along a Lipschitz hypersurfa…