Well-posedness and stability for a nonlinear Euler-Bernoulli beam equation

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

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