D'Alembert formula on finite one-dimensional networks.

DOI10.1016/S0022-247X(02)00392-XzbMath1035.35058MaRDI QIDQ1406974

Luigi Fontana, Carla Cattaneo

Publication date: 7 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

periodicity in timefinite weighted networks

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (6)

Exact noise cancellation for 1D-acoustic propagation systems ⋮ Description of solutions to the initial-boundary-value problem for a wave equation on a one-dimensional spatial network in terms of the Green function of the corresponding boundary-value problem for an ordinary differential equation ⋮ Time-dependent Schrödinger equation: statistics of the distribution of Gaussian packets on a metric graph ⋮ Conditions for periodic vibrations in a symmetric \(n\)-string ⋮ Stochastic reaction-diffusion equations on networks ⋮ New relations between discrete and continuous transition operators on (metric) graphs

Cites Work

• The spectrum of the continuous Laplacian on a graph
• The spread of the potential on a homogeneous tree
• Asymptotic Behavior of Skew Conditional Heat Kernels on Graph Networks
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