On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity

DOI10.18500/1816-9791-2019-19-3-280-288zbMath1441.35152OpenAlexW2971475994MaRDI QIDQ5113872

Avgoust P. Khromov

Publication date: 18 June 2020

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu807

zbMATH Keywords

Fourier methodKrylov method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) Classical solutions to PDEs (35A09)

Related Items (2)

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

Cites Work

• Unnamed Item
• 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
• The resolvent approach for the wave equation
• Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation

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