29 citations · 58 across the 3 of their papers we have counts for
4 papers
MIT bag in non-smooth convex domains
Konstantin Pankrashkin
The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the -setting. This allows one to show that such operators a…
Poisson-type problems with transmission conditions at boundaries of infinite metric trees
Maryna Kachanovska, Kiyan Naderi, Konstantin Pankrashkin
The paper introduces a Poisson-type problem on a mixed-dimensional structure combining a Euclidean domain and a lower-dimensional self-similar component touching a compact surface…
Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions
Pavel Exner, Sylwia Kondej
We consider Schrödinger operators with a strongly attractive singular interaction supported by a finite curve of lenghth in . We show that if is -smooth and…
Strong coupling asymptotics for a singular Schroedinger operator with an interaction supported by an open arc
Pavel Exner, Konstantin Pankrashkin
We consider a singular Schrödinger operator in written formally as where is a smooth open arc in of length with regul…