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math.AP2025
What does it mean for a 3D star-shaped scatterer to be small in the time domain?
Maryna Kachanovska, Adrian Savchuk
In the frequency domain wave scattering problems, obstacles can be effectively replaced by point scatterers as soon as the wavelength of the incident wave exceeds significantly the…
math.AP2025
Limiting absorption principle for a hybrid resonance in a two-dimensional cold plasma
Maryna Kachanovska, Ãtienne Peillon
We study a limiting absorption principle for the boundary-value problem describing a hybrid plasma resonance, with a regular coefficient in the principal part of the operator that…
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…