Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential

DOI10.18500/1816-9791-2020-20-4-444-456zbMath1456.35125OpenAlexW3109646909MaRDI QIDQ5143346

V. P. Kurdyumov, Viktoriya Anatol'Evna Khalova, Avgoust P. Khromov

Publication date: 11 January 2021

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/isu861

zbMATH Keywords

resolventformal solutionFourier methodsummable potential equal-order boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Series solutions to PDEs (35C10)

Related Items (1)

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

Cites Work

• On the convergence of the formal Fourier solution of the wave equation with a summable potential
• Mixed problem for a homogeneous wave equation with a nonzero initial velocity
• Resolvent approach in the Fourier method
• Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders
• Behavior of the formal solution to a mixed problem for the wave equation
• Justification of Fourier Method in a Mixed Problem for Wave Equation with Non-zero Velocity
• A Mixed Problem for a Wave Equation with a Nonzero Initial Velocity
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