Resolvent approach to the Fourier method in a mixed problem for the wave equation

DOI10.1134/S0965542515040077zbMath1320.35187OpenAlexW648370328MaRDI QIDQ2354484

V. V. Kornev, Avgoust P. Khromov

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515040077

zbMATH Keywords

formal solutionfree-end boundary conditionsmethod of contour integration

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (9)

Behavior of the formal Fourier solution of the wave equation with a summable potential ⋮ Mixed problem for the inhomogeneous wave equation with a summable potential ⋮ Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders ⋮ Mixed problem for the wave equation with a summable potential and nonzero initial velocity ⋮ A mixed problem for an inhomogeneous wave equation with a summable potential ⋮ 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 ⋮ A Mixed Problem for a Wave Equation with a Nonzero Initial Velocity ⋮ Justification of Fourier Method in a Mixed Problem for Wave Equation with Non-zero Velocity

Cites Work

• Initial-boundary value problems for first-order hyperbolic equations with involution
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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