Solutions of the wave equation on hybrid spaces of constant curvature

DOI10.1134/S1061920814040098zbMath1320.35178MaRDI QIDQ2344183

Anna V. Tsvetkova, Andrej I. Shafarevich

Publication date: 12 May 2015

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

zbMATH Keywords

Euclidean spaceHerglotz-Petrovsky formulassphere with a glued ray

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) PDEs on manifolds (35R01) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface ⋮ 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 ⋮ The Cauchy problem for the wave equation on homogeneous trees

Cites Work

• Unnamed Item
• Unnamed Item
• Statistics of Gaussian packets on metric and decorated graphs
• Quantum motion on a half-line connected to a plane
• Scattering on compact manifolds with infinitely thin horns
• The kernel of Laplace-Beltrami operators with zero-radius potential or on decorated graphs
• The complex Lagrangian Grassmannian