Behavior of the formal solution to a mixed problem for the wave equation

DOI10.1134/S0965542516020135zbMath1343.35145OpenAlexW2312313125MaRDI QIDQ2630008

Avgoust P. Khromov

Publication date: 8 July 2016

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

Full work available at URL: https://doi.org/10.1134/s0965542516020135

zbMATH Keywords

resolventcontour integrationtwo-point boundary conditionsFourier methodCauchy-Poincaré technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10)

Related Items (6)

Mixed problem for the wave equation with a summable potential and nonzero initial velocity ⋮ 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 ⋮ A mixed problem for an inhomogeneous wave equation with a summable potential ⋮ Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential ⋮ A Mixed Problem for a Wave Equation with a Nonzero Initial Velocity ⋮ Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential

Cites Work

• Resolvent approach in the Fourier method
• The resolvent approach for the wave equation
• About the Classical Solution of the Mixed Problem for the Wave Equation
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