most citedOn an inverse problem for tree-like networks of elastic strings

47 citations · 63 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025★ 16 cited

On the inverse problem of the two-velocity tree-like graph

S. A. Avdonin, A. Choque Rivero, G. Leugering +1

In this article the authors continue the discussion in \cite{ALM} about inverse problems for second order elliptic and hyperbolic equations on metric trees from boundary measuremen…

math.AP2025★ 47 cited

On an inverse problem for tree-like networks of elastic strings

S. A. Avdonin, G. Leugering, V. S. Mikhaylov

We consider the in-plane motion of elastic strings on tree-like network, observed from the 'leaves'. We investigate the inverse problem of recovering not only the physical properti…

math.OC2016

Neumann boundary feedback stabilization for a nonlinear wave equation: A strict -Lyapunov function

Martin Gugat, Günter Leugering, Ke Wang

For a system that is governed by the isothermal Euler equations with friction for ideal gas, the corresponding field of characteristic curves is determined by the velocity of the f…