A Mixed Problem for a Wave Equation with a Nonzero Initial Velocity

DOI10.18500/1816-9791-2018-18-2-157-171zbMath1423.35243OpenAlexW2809725372MaRDI QIDQ5194992

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

Publication date: 17 September 2019

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/isu752

zbMATH Keywords

formal solutionspectral problemtwo-point boundary conditions

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)

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

Cites Work

• Resolvent approach in the Fourier method
• Resolvent approach to the Fourier method in a mixed problem for the wave equation
• On convergence and growth of partial sums of Fourier series
• 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
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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