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math.AP2025
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…
math.AP2025
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…