23-2 Gianni Arioli, Hans Koch

Periodic and quasiperiodic waves on the sphere (3021K, pdf) Jan 20, 23

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Abstract. We construct periodic and quasiperiodic solutions for the nonlinear plate equation on the unit sphere in R^3. Periodic solutions for the nonlinear wave equation are constructed as well. The methods do not involve small parameters. In the case of a cubic nonlinear term, our approach is computer-assisted and thus yields detailed information about each solution. For nonlinearities that are in some sense close to linear, weak solutions are obtained by a variational method.

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