Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph

DOI10.1134/S0081543820010204zbMath1440.35205OpenAlexW3030817463MaRDI QIDQ2185586

Anna V. Tsvetkova, Andrej I. Shafarevich

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820010204

zbMATH Keywords

Maslov canonical operatorlocalized initial conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

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 with initial conditions on a surface

Cites Work

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• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems
• 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
• Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph
• Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface
• 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

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