Mixed problem for a general 1D wave equation with characteristic second derivatives in a nonstationary boundary mode

DOI10.1134/S0001434621090030zbMath1477.74056OpenAlexW3208277494MaRDI QIDQ2666601

F. E. Lomovtsev, K. A. Spesivtseva

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090030

zbMATH Keywords

modified method of characteristicsclassical solutionconsistency conditionsmoothness conditionlinear mixed provlemwell-posedness criterion

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear waves in solid mechanics (74J05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Numerical and other methods in solid mechanics (74S99)

Related Items (1)

Asymptotic problems of reconstructing a high-frequency source of a wave equation

Cites Work

• Solution of a mixed problem with oblique derivatives in the boundary conditions for the inhomogeneous string vibration equation without continuing the data
• Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
• Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition

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