Abstract
We consider here the full system of dynamic von Kármán equations, taking into account the in-plane acceleration terms, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of strong solutions for this system with various boundary conditions possibly including feedback terms which are useful for stabilization purposes.
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Communicated by I. Lasiecka
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Puel, J.P., Tucsnak, M. Global existence for the full von Kármán system. Appl Math Optim 34, 139–160 (1996). https://doi.org/10.1007/BF01182621
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DOI: https://doi.org/10.1007/BF01182621