59 citations · 456 across the 26 of their papers we have counts for
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Uniform resolvent convergence for strip with fast oscillating boundary
Denis Borisov, Giuseppe Cardone, Luisa Faella +1
In a planar infinite strip with a fast oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the o…
Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics
Denis Borisov, Renata Bunoiu, Giuseppe Cardone
We consider a magnetic Schroedinger operator in a planar infinite strip with frequently and non-periodically alternating Dirichlet and Robin boundary conditions. Assuming that the…
Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure
G. Cardone, R. Fares, G. P. Panasenko
The Stokes equation with the varying viscosity is considered in a thin tube structure, i.e. in a connected union of thin rectangles with heights of order and with…
Planar waveguide with "twisted" boundary conditions: small width
D. Borisov, G. Cardone
We consider a planar waveguide with "twisted" boundary conditions. By twisting we mean a special combination of Dirichlet and Neumann boundary conditions. Assuming that the width o…