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.
Quasi-periodic solutions of completely resonant forced wave equations / Berti, Massimiliano; Procesi, M.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 31:6(2006), pp. 959-985. [10.1080/03605300500358129]
Quasi-periodic solutions of completely resonant forced wave equations
BERTI, MASSIMILIANO;
2006
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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