122 citations · 452 across the 56 of their papers we have counts for
4 papers · 2 filters
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…
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…
Scattering of Solitons for Coupled Wave-Particle Equations
Valery Imaykin, Alexander Komech, Boris Vainberg
We establish a long time soliton asymptotics for a nonlinear system of wave equation coupled to a charged particle. The coupled system has a six dimensional manifold of soliton sol…
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…