- 08-84 Guido Gentile and Michela Procesi
- Periodic solutions for a class of nonlinear
partial differential equations in higher dimension
Apr 28, 08
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Abstract. We prove the existence of periodic solutions in a class
of nonlinear partial differential equations, including
the nonlinear Schroedinger equation, the nonlinear wave equation,
and the nonlinear beam equation, in higher dimension.
Our result covers cases where the bifurcation equation
is infinite-dimensional, such as the nonlinear Schroedinger
equation with zero mass, for which solutions which at leading order
are wave packets are shown to exist.