Higher order evolution equations in Hilbert space may be sometimes better studied by ad hoc methods, rather than reducing them to first order systems. We illustrate this by solving the Cauchy problem for equations, which are variations on the theme of the Timoshenko beam equation. Also Kirchhoff's nonlinear correction is taken into account.
Fourth order evolution equations / Arosio, Alberto Giorgio; R., Natalini; Panizzi, Stefano; M. G., Paoli. - (1993), pp. 282-287. (Intervento presentato al convegno Equadiff 91 tenutosi a Barcellona, Spain nel 26-31 August 1991).
Fourth order evolution equations
AROSIO, Alberto Giorgio;PANIZZI, Stefano;
1993-01-01
Abstract
Higher order evolution equations in Hilbert space may be sometimes better studied by ad hoc methods, rather than reducing them to first order systems. We illustrate this by solving the Cauchy problem for equations, which are variations on the theme of the Timoshenko beam equation. Also Kirchhoff's nonlinear correction is taken into account.File in questo prodotto:
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