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math.AP2025
Asymptotics for the spectrum of the Laplacian in thin bars with varying cross sections
Pablo Benavent-Ocejo, Delfina Gómez, Maria-Eugenia Pérez-MartÃnez
We consider spectral problems for Laplace operator in 3D rod structures with a small cross section of diameter , being a positive parameter. The bound…
math.AP2025
Longitudinal oscillations for eigenfunctions in rod like structures
Pablo Benavent-Ocejo, Delfina Gómez, MarÃa-Eugenia Pérez-MartÃnez
We consider the spectrum of the Laplace operator on 3D rod structures, with a small cross section depending on a small parameter . The boundary conditions are of Diric…