Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph

DOI10.1134/S106192081803007XzbMath1402.35076MaRDI QIDQ1990183

Anna V. Tsvetkova, Andrej I. Shafarevich

Publication date: 24 October 2018

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

zbMATH Keywords

localized initial conditionswave equation with variable velocity

Mathematics Subject Classification ID

Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (4)

The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere ⋮ Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph ⋮ Asymptotics of the solution of a wave equation with radially symmetric velocity on the simplest decorated graph with arbitrary boundary conditions at the gluing point ⋮ Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface

Cites Work

• 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
• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems
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• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Localized asymptotic solutions of the wave equation with variable velocity on the simplest graphs
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
• Solutions of the wave equation on hybrid spaces of constant curvature
• Scattering on compact manifolds with infinitely thin horns
• On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs
• Unnamed Item

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