On inverse topology problem for Laplace operators on graphs
Copyright policy )On inverse topology problem for Laplace operators on graphs
Laplacian operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of $\delta$ type. Under one additional assumption, the inverse topology problem is treated. Using the apparatus of boundary triples, we generalize and extend existing results on necessary conditions of isospectrality of two Laplacians defined on different graphs. A result is also given covering the case of Schrodinger operators.
Schrödinger operator, Graphs and linear algebra (matrices, eigenvalues, etc.), Inverse problems involving ordinary differential equations, quantum graphs, квантовые графы, оператор Шредингера, оператор Лапласа, обратная спектральная задача, граничные тройки, изоспектральные графы, quantum graphs, Schrodinger operator, Laplace operator, inverse spectral problem, boundary triples, isospectral graphs, Laplace operator, квантові графи, оператор Шредінгера, оператор Лапласа, обернена спектральна задача, граничні трійки, ізоспектральні графи, QA1-939, schrodinger operator, boundary triples, isospectral graphs, inverse spectral problem, Mathematics, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, laplace operator
Schrödinger operator, Graphs and linear algebra (matrices, eigenvalues, etc.), Inverse problems involving ordinary differential equations, quantum graphs, квантовые графы, оператор Шредингера, оператор Лапласа, обратная спектральная задача, граничные тройки, изоспектральные графы, quantum graphs, Schrodinger operator, Laplace operator, inverse spectral problem, boundary triples, isospectral graphs, Laplace operator, квантові графи, оператор Шредінгера, оператор Лапласа, обернена спектральна задача, граничні трійки, ізоспектральні графи, QA1-939, schrodinger operator, boundary triples, isospectral graphs, inverse spectral problem, Mathematics, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, laplace operator
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