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arxiv: math/0504406 · v1 · submitted 2005-04-20 · 🧮 math.FA · math.AP

Quasi-periodic solutions of completely resonant forced wave equations

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keywords casecompletelyequationsforcednumberquasi-periodicresonantsolutions
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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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