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20132026
most citedSelf-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

48 citations · 263 across the 66 of their papers we have counts for

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Showing 2015 · math.APShow all

6 papers · 2 filters

math.AP2015★ 5 cited

A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index

Ahmed Alsaedi, Bashir Ahmed, Durga Prasad Challa +2

We deal with the scattering of an acoustic medium modeled by an index of refraction varying in a bounded region of and equal to unity outside . This regio…

math.AP2015★ 48 cited

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

A. Mantile, A. Posilicano, M. Sini

The abstract theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint realizations of a second-order elliptic operator on with li…

math.AP2015★ 7 cited

Extraction of the index of refraction by embedding multiple and close small inclusions

Ahmed Alsaedi, Faris Alzahrani, Durga Prasad Challa +2

We deal with the problem of reconstructing material coefficients from the farfields they generate. By embedding small (single) inclusions to these media, located at points in t…

math.AP2015★ 3 cited

The equivalent medium for the elastic scattering by many small rigid bodies and applications

Fadhel Al-Musallam, Durga Prasad Challa, Mourad Sini

We deal with the elastic scattering by a large number of rigid bodies, , of arbitrary shapes with and with constant Lamé coefficients…

math.AP2015★ 8 cited

Multiscale analysis of the acoustic scattering by many scatterers of impedance type

Durga Prasad Challa, Mourad Sini

We are concerned with the acoustic scattering problem, at a frequency , by many small obstacles of arbitrary shapes with impedance boundary condition. These scatterers are assum…

math.AP2015

The enclosure method for the anisotropic Maxwell system

Rulin Kuan, Yi-Hsuan Lin, Mourad Sini

We develop an enclosure-type reconstruction scheme to identify penetrable and impenetrable obstacles in electromagnetic field with anisotropic medium in \mathbb{R}^{3}. The main di…