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 abstract evolution equations / Arosio, Alberto Giorgio; R., Natalini; Panizzi, Stefano; M. G., Paoli. - STAMPA. - 253:(1992), pp. 8-22. (Intervento presentato al convegno WORKSHOP ON NONLINEAR HYPERBOLIC EQUATIONS tenutosi a Varenna, Italy nel june, 1990).
Fourth order abstract evolution equations
AROSIO, Alberto Giorgio;PANIZZI, Stefano;
1992-01-01
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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