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20092022
most citedOn a waveguide with frequently alternating boundary conditions: homogenized Neumann condition

59 citations · 456 across the 26 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.SP2014

Neumann spectral problem in a domain with very corrugated boundary

Giuseppe Cardone, Andrii Khrabustovskyi

Let be a bounded domain. We perturb it to a domain attaching a family of small protuberances with "room-and-passage"-like geometry ($\varepsi…

math.AP2014★ 12 cited

Scalar boundary value problems on junctions of thin rods and plates. I. Asymptotic analysis and error estimates

R. Bunoiu, G. Cardone, S. A. Nazarov

We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical r…