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 when the forcing frequency is: (Case A) a rational number and (Case B) an irrational number.
Procesi, M., Massimiliano, B. (2006). Quasi-periodic solutions of completely resonant forced wave equations. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 31(6), 959-985 [10.1080/03605300500358129].
Quasi-periodic solutions of completely resonant forced wave equations
PROCESI, MICHELA;
2006-01-01
Abstract
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 when the forcing frequency is: (Case A) a rational number and (Case B) an irrational number.File in questo prodotto:
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