A resolvent approach in the Fourier method for the wave equation: the non-selfadjoint case

DOI10.1134/S0965542515070088zbMath1351.65079OpenAlexW984031909MaRDI QIDQ500605

V. V. Kornev, Avgoust P. Khromov

Publication date: 5 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515070088

zbMATH Keywords

eigenvalue problemformal solutionFourier methodresolvent approachmixed problem for the wave equation

Mathematics Subject Classification ID

Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

Behavior of the formal Fourier solution of the 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 ⋮ Integral representations of irregular root functions of loaded second-order differential operators ⋮ Mixed problem for a homogeneous wave equation with a nonzero initial velocity ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ 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
• Resolvent approach in the Fourier method
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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