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math.AP2025
M-dissipative generalized impedance boundary conditions, discrete spectra, and pointwise multipliers between fractional Sobolev spaces
Illya M. Karabash
The paper studies properties of acoustic operators in bounded Lipschitz domains with m-dissipative generalized impedance boundary conditions. We prove that such acoustic opera…
math.AP2024
Random acoustic boundary conditions and Weyl's law for Laplace-Beltrami operators on non-smooth boundaries
Illya M. Karabash
Motivated by engineering and photonics research on resonators in random or uncertain environments, we study rigorous randomizations of boundary conditions for wave equations of the…