- 03-130 Bambusi D.
- An Averaging Theorem for Quasilinear Hamiltonian PDEs
Mar 21, 03
(auto. generated ps),
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Abstract. We study the dynamics of Hamiltonian quasilinear PDEs close
to elliptic equilibria. Under a suitable nonresonance condition we
prove an averaging theorem according to which any solution
corresponding to small amplitude smooth initial data remain very close
to a torus up to long times. An application to quasilinear wave
equations in an $n$ dimensional paralleliped is given.