Fourier method in a mixed problem for the wave equation on a graph

DOI10.1134/S1064562415060277zbMath1381.35198MaRDI QIDQ265983

M. Sh. Burlutskaya

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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The deformations problem for the Stieltjes strings system with a nonlinear condition ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications

Cites Work

• Estimates for the convergence rate of spectral decompositions of even-order differential operators
• Solvability of the mixed problem for the wave equation with a dynamic boundary condition
• Mixed problem with involution on a two-edge graph containing a cycle
• Resolvent approach in the Fourier method
• The resolvent approach for the wave equation
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