Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation

DOI10.1134/S096554251902009XzbMath1416.35153OpenAlexW2946090776MaRDI QIDQ5919546

Avgoust P. Khromov, V. V. Kornev

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251902009x

zbMATH Keywords

Fourier methodsummable potentialconvergence acceleration for Fourier series

Mathematics Subject Classification ID

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

Related Items (5)

Effective application of the Fourier technique for constructing a solution to a mixed problem for a telegraph equation ⋮ 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 ⋮ On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity ⋮ A new way of constructing a generalized solution to a mixed problem for a telegraph equation ⋮ Construction of a generalized solution of a mixed problem for the telegraph equation: sequential and axiomatic approaches

Cites Work

• On the convergence of the formal Fourier solution of the wave equation with a summable potential
• A mixed problem for an inhomogeneous wave equation with a summable potential
• Resolvent approach in the Fourier method
• The resolvent approach for the wave equation
• Mixed problem for the wave equation with a summable potential and nonzero initial velocity

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