58 citations · 182 across the 32 of their papers we have counts for
Showing 2010 · math-phShow all
3 papers · 2 filters
math-ph2010
A priori estimates for high frequency scattering by obstacles of arbitrary shape
Evgeny Lakshtanov, Boris Vainberg
High frequency estimates for the Dirichlet-to-Neumann and Neumann-to-Dirichlet operators are obtained for the Helmholtz equation in the exterior of bounded obstacles. These a prior…
math-ph2010
High Frequency Scattering by a Classically Invisible Body
E. Lakshtanov, B. D. Sleeman, B. Vainberg
We consider a polyhedron with zero classical resistance, i.e., a polyhedron invisible to an observer viewing only the paths of geometrical optics rays. The corresponding problem of…
math-ph2010★ 5 cited
Resonance regimes of scattering by small bodies with impedance boundary conditions
Evgeny Lakshtanov, Boris Vainberg
The paper concerns scattering of plane waves by a bounded obstacle with complex valued impedance boundary conditions. We study the spectrum of the Neumann-to-Dirichlet operator for…