Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing
نویسندگان
چکیده
We consider a model of nonlinear wave equations with periodically varying speed and periodic external forcing. By imposing non-resonance conditions on the frequency, we establish existence response solutions (i.e., same frequency as forcing) for such in Cantor set asymptotically full measure. The proof relies Lyapunov–Schmidt reduction together Nash–Moser iteration.
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2021
ISSN: ['1040-7294', '1572-9222']
DOI: https://doi.org/10.1007/s10884-021-10025-1