Effective application of the Fourier technique for constructing a solution to a mixed problem for a telegraph equation

DOI10.3103/S0278641921040038zbMath1484.35140OpenAlexW4206824102MaRDI QIDQ2668885

I. S. Lomov

Publication date: 9 March 2022

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641921040038

zbMATH Keywords

contour integraltelegraph equationmixed problemFourier techniquegeneralized d'Alembert formulaessentially non-selfadjoint operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10)

Related Items (3)

The uniqueness of the solution of an initial boundary value problem for a hyperbolic equation with a mixed derivative and a formula for the solution ⋮ Divergent series and generalized mixed problems for heat conduction and Schrödinger equations of the simplest form ⋮ A new way of constructing a generalized solution to a mixed problem for a telegraph equation

Cites Work

• On the convergence of the formal Fourier solution of the wave equation with a summable potential
• Resolvent approach in the Fourier method
• Necessary and sufficient conditions for the existence of a classical solution of the mixed problem for the homogeneous wave equation with an integrable potential
• Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation
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