On Wave-Like Differential Equations in General Hilbert Space. The Functional Analytic Investigation of Euler-Bernoulli Bending Vibrations of a Beam as an Application in Engineering Science

DOI10.1016/J.PADIFF.2024.100617arXiv2405.03383MaRDI QIDQ6533452

Reinhard Honegger, Barbara Priwitzer, Michael Lauxmann

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems for linear higher-order PDEs (35G10) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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