28 citations · 93 across the 40 of their papers we have counts for
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math-ph2013
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…
math-ph2013★ 1 cited
A C*-algebra associated with dynamics on a graph of strings
M. I. Belishev, N. Wada
A C*-algebra associated with a dynamical system on a metric graph is introduced. The system is governed by the wave equation and controlled from boundary vertices. Al…
math-ph2013★ 13 cited
Elements of noncommutative geometry in inverse problems on manifolds
M. I. Belishev, M. N. Demchenko
We deal with two dynamical systems associated with a Riemannian manifold with boundary. The first one is a system governed by the scalar wave equation, the second is governed by th…