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math.OC2025★ 8 cited
Controllability of partial differential equations on graphs
S. A. Avdonin, V. S. Mikhaylov
We study the boundary control problems for the wave, heat, and Schrödinger equations on a finite graph. We suppose that the graph is a tree (i.e., it does not contain cycles), and…
math.OC2025★ 10 cited
On some applications of the Boundary Control method to spectral estimation and inverse problems
S. A. Avdonin, A. S. Mikhaylov, V. S. Mikhaylov
We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method fo…