Quasi-periodic solutions of completely resonant forced wave equations

Details Quasi-periodic solutions of completely resonant forced wave equations Quasi-periodic solutions of completely resonant forced wave equations

2005-04-20

arxiv.org/abs/math/0504406v1

Mathematics

Functional Analysis

25 pages, 1 figure

Scientific paper

We prove existence of quasi-periodic solutions with two frequencies of
completely resonant, periodically forced nonlinear wave equations with periodic
spatial boundary conditions. We consider both the cases the forcing frequency
is: (Case A) a rational number and (Case B) an irrational number.

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