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math.AP2026
A trace theorem for spherical kinetic Sobolev spaces on -convex domains
Herbert Egger, Matthias Schlottbom
Trace theorems are an indispensable tool for the analysis of kinetic equations. They have been established in wide generality by Cessenat and co-workers for radiative transfer and…
math.AP2026
Kreiss stability analysis of Hagstrom-Warburton nonreflecting boundary conditions for the first-order time-dependent Maxwell equations
Kaifang Liu, Matthias Schlottbom, J. J. W. van der Vegt +1
We analyze the stability of the Hagstrom-Warburton nonreflecting boundary conditions (HW-NRBCs) for the first-order time-dependent Maxwell equations. The HW-NRBCs enjoy very small…