Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree

DOI10.1134/S1061920816040099zbMath1364.35403WikidataQ125839178 ScholiaQ125839178MaRDI QIDQ519754

Anna V. Tsvetkova

Publication date: 5 April 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

energywave equationeigenvalues of the Laplaciansingular domain

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (4)

Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs ⋮ Lattice equations and semiclassical asymptotics ⋮ 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

Cites Work

• The Cauchy problem for the wave equation on homogeneous trees
• Solutions of the wave equation on hybrid spaces of constant curvature
• SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
• Scattering on compact manifolds with infinitely thin horns
• Unnamed Item
• Unnamed Item

This page was built for publication: Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree