Necessary and sufficient conditions for the existence of a classical solution of the mixed problem for the homogeneous wave equation with an integrable potential

DOI10.1134/S0012266119050112zbMath1421.35200OpenAlexW2952756294WikidataQ115250623 ScholiaQ115250623MaRDI QIDQ2319428

Avgoust P. Khromov

Publication date: 19 August 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119050112

zbMATH Keywords

rapidly convergent seriesFourier method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Classical solutions to PDEs (35A09)

Related Items (4)

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