On the convergence of the formal Fourier solution of the wave equation with a summable potential

DOI10.1134/S0965542516100110zbMath1356.35089OpenAlexW2532355909MaRDI QIDQ506235

Avgoust P. Khromov

Publication date: 31 January 2017

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

Full work available at URL: https://doi.org/10.1134/s0965542516100110

zbMATH Keywords

resolventFourier methodconvergence of a formal solution

Mathematics Subject Classification ID

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

Related Items (11)

Mixed problem for the wave equation with a summable potential and nonzero initial velocity ⋮ Effective application of the Fourier technique for constructing a solution to a mixed problem for a telegraph equation ⋮ On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity ⋮ Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential ⋮ 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 ⋮ Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation ⋮ Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation ⋮ Necessary and sufficient conditions for the existence of a classical solution of the mixed problem for the homogeneous wave equation with an integrable potential ⋮ Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints ⋮ Construction of a generalized solution of a mixed problem for the telegraph equation: sequential and axiomatic approaches

Cites Work

• A resolvent approach in the Fourier method for the wave equation: the non-selfadjoint case
• Resolvent approach in the Fourier method
• The resolvent approach for the wave equation
• Resolvent approach to the Fourier method in a mixed problem for the wave equation
• About the Classical Solution of the Mixed Problem for the Wave Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the convergence of the formal Fourier solution of the wave equation with a summable potential