1 citations · 1 across the 6 of their papers we have counts for
6 papers
Controllability, returning waves and scattering without reverberation in 3D acoustic dynamic system
Mikhail I. Belishev, Aleksei F. Vakulenko
The dynamic acoustic scattering system is governed by the wave equation in , with a compactly supported potential and infinite…
Three-dimensional inverse acoustic scattering problem by the BC-method
M. I. Belishev, A. F. Vakulenko
Let , . The {\it forward} acoustic scattering problem under consideration is to find satisfying \begin{align} \label{Eq 01…
On the M.Kac problem with augmented data
M. I. Belishev, A. F. Vakulenko
Let be a bounded plane domain. As is known, the spectrum of its Dirichlet Laplacian does not determine $Ω…
On Characterization of Inverse Data in the Boundary Control Method
Mikhail Belishev, Aleksei Vakulenko
We deal with a dynamical system \begin{align*} & u_{tt}-Δu+qu=0 && {\rm in}\,\,\,Ω\times (0,T)\\ & u\big|_{t=0}=u_t\big|_{t=0}=0 && {\rm in}\,\,\,\overline Ω\\ & \partial_νu = f &&…
Non-smooth unobservable states in control problem for the wave equation in (corrected)
M. I. Belishev, A. F. Vakulenko
The paper deals with a dynamical system \begin{align*} &u_{tt}-Δu=0, \qquad (x,t) \in {\mathbb R}^3 \times (-\infty,0) \\ &u \mid_{|x|<-t} =0 , \qquad t<0\\ &\lim_{s \to \infty} su…
-points in acoustical scattering
Mikhail Belishev, Aleksei Vakulenko
The notion of -points has been introduced by the authors (SIAM JMA, 39 (2008), 1821--1850) in connection with the control problem for the dynamical system governed by the $3\rm…