Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph with initial conditions on a surface

DOI10.1134/S000143462009031XzbMath1451.35243OpenAlexW3095601744MaRDI QIDQ2210418

Andrej I. Shafarevich, Anna V. Tsvetkova

Publication date: 6 November 2020

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

Full work available at URL: https://doi.org/10.1134/s000143462009031x

zbMATH Keywords

WKB methodMaslov canonical operatorhybrid manifold

Mathematics Subject Classification ID

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

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
• Localized asymptotic solution of a variable-velocity wave equation on the 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
• The kernel of Laplace-Beltrami operators with zero-radius potential or on decorated graphs

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