Solvability of the mixed problem for the wave equation with a dynamic boundary condition
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Publication:1935408
DOI10.1134/S0012266112100096zbMath1259.35145OpenAlexW2126095658WikidataQ115252117 ScholiaQ115252117MaRDI QIDQ1935408
A. A. Kholomeeva, E. I. Moiseev
Publication date: 15 February 2013
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266112100096
PDEs in connection with mechanics of particles and systems of particles (35Q70) Boundary value problems for PDEs of mixed type (35M12)
Related Items (9)
Fourier method in a mixed problem for the wave equation on a graph ⋮ Factorized equation of vibrations of a finite string with nonstationary second directional derivatives at the endpoints ⋮ On an optimal boundary control problem with a dynamic boundary condition ⋮ Reconstruction of two functions in the model of vibrations of a string one end of which is placed in a moving medium ⋮ Unnamed Item ⋮ Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end ⋮ Boundary displacement control for the oscillation process with boundary conditions of damping type for a time less than critical ⋮ Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time ⋮ Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition
Cites Work
- Solvability of mixed problems for the string oscillation equation in the space \(W_{p}^{1}\), with \(p \geq 1\)
- Optimal boundary force control at one end of a string for a given displacement mode at the other end
- Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
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