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

DOI10.1002/zamm.201400126zbMath1335.35290OpenAlexW1587830230MaRDI QIDQ2803457

Choque Rivero Abdon, Victor Mikhaylov, Günter R. Leugering, Sergeĭ Anatol'evich Avdonin

Publication date: 4 May 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400126

zbMATH Keywords

inverse problemdynamic Steklov-Poincaré operatorleaf-peeling methodplanar tree of stringsTitchmarch-Weyl-matrix

Mathematics Subject Classification ID

Trees (05C05) Inverse problems for PDEs (35R30) Wave equation (35L05) Weyl theory and its generalizations for ordinary differential equations (34B20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (7)

Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree ⋮ Determining distributed parameters in a neuronal cable model on a tree graph ⋮ Method for solving inverse spectral problems on quantum star graphs ⋮ Boundary control and tomography of Riemannian manifolds (the BC-method) ⋮ On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method ⋮ Leaf peeling method for the wave equation on metric tree graphs ⋮ Partial Differential Equations on Metric Graphs: A Survey of Results on Optimization, Control, and Stabilizability Problems with Special Focus on Shape and Topological Sensitivity Problems

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