2 papers
math.DS2024
Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake
Sabrina Kombrink, Lucas Schmidt
We apply recent results by the authors to obtain bounds on remainder terms of the Dirichlet Laplace eigenvalue counting function for domains that can be realised as countable disjo…
math.SP2023
On bounds for the remainder term of counting functions of the Neumann Laplacian on domains with fractal boundary
Sabrina Kombrink, Lucas Schmidt
We provide a new constructive method for obtaining explicit remainder estimates of eigenvalue counting functions of Neumann Laplacians on domains with fractal boundary. This is don…