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

DOI10.1134/S1061920819020109zbMath1418.35255OpenAlexW2948516440WikidataQ127781451 ScholiaQ127781451MaRDI QIDQ2424756

Anna V. Tsvetkova, Andrej I. Shafarevich

Publication date: 25 June 2019

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

Full work available at URL: https://doi.org/10.1134/s1061920819020109

zbMATH Keywords

self-adjoint extensions

Mathematics Subject Classification ID

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

Related Items (3)

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

Cites Work

• Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph
• Solutions of the wave equation on hybrid spaces of constant curvature
• 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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