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math-ph2023
Discrete and embedded trapped modes in a plane quantum waveguide with a small obstacle: exact solutions
P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez +1
Exact solutions describing trapped modes in a plane quantum waveguide with a small rigid obstacle are constructed in the form of convergent series in powers of the small parameter…
math-ph2014★ 2 cited
On justification of Sobolev's formula for diffraction by wedge
A. I. Komech, A. E. Merzon, J. E. De la Paz Mendez
We consider the scattering of an arbitary incident plane wave which is a tempered distribution by a two-dimensional wedge.