The Cauchy problem for the wave equation on homogeneous trees

DOI10.1134/S0001434616110262zbMath1364.35404MaRDI QIDQ520613

Andrej I. Shafarevich, Anna V. Tsvetkova

Publication date: 5 April 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

distribution of energyspectrum of the second derivative operator on a homogeneous treewave equation on a graph

Mathematics Subject Classification ID

Wave equation (35L05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (7)

Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs ⋮ UNIQUE SOLVABILITY OF IBVP FOR PSEUDO-SUBDIFFUSION EQUATION WITH HILFER FRACTIONAL DERIVATIVE ON A METRIC GRAPH ⋮ Lattice equations and semiclassical asymptotics ⋮ Initial boundary value problem for a time fractional wave equation on a metric graph ⋮ On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs ⋮ Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph ⋮ Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree

Cites Work

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• Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph
• Solutions of the wave equation on hybrid spaces of constant curvature
• Statistics of Gaussian packets on metric and decorated graphs
• SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
• Scattering on compact manifolds with infinitely thin horns

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