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math.AP2005
Periodic solutions of wave equations for asymptotically full measure sets of frequencies
Pietro Baldi, Massimiliano Berti
We prove existence and multiplicity of small amplitude periodic solutions of the completely resonant wave equation u_tt - u_xx + f(x,u)=0 with Dirichlet boundary conditions where f…
math.AP2005
Quasi-periodic solutions of the equation v_{tt}-v_{xx}+v^3=f(v)
Pietro Baldi
We consider 1D completely resonant nonlinear wave equations of the type v_{tt}-v_{xx}=-v^3+O(v^4) with spatial periodic boundary conditions. We prove the existence of a new type of…