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Shape optimization problems for metric graphs

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Publication:5404526
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DOI10.1051/COCV/2013050zbMath1286.49050arXiv1312.3909OpenAlexW2013606531MaRDI QIDQ5404526

Berardo Ruffini, Bozhidar Velichkov, Giusseppe Buttazzo

Publication date: 24 March 2014

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3909


zbMATH Keywords

shape optimizationquantum graphsDirichlet energymetric graphsrectifiable sets


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)


Related Items (4)

Quantum graphs which optimize the spectral gap ⋮ Ground states of nonlinear Schrödinger equation on star metric graphs ⋮ Limits of quantum graph operators with shrinking edges ⋮ 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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