We prove bifurcation of Cantor families of periodic solutions for wave equations with nonlinearities of class C^k. It requires a modified Nash-Moser iteration scheme with interpolation estimates for the inverse of the linearized operators and for the composition operators.

Cantor families of periodic solutions of wave equations with C^k nonlinearities

BERTI, MASSIMILIANO;
2008

Abstract

We prove bifurcation of Cantor families of periodic solutions for wave equations with nonlinearities of class C^k. It requires a modified Nash-Moser iteration scheme with interpolation estimates for the inverse of the linearized operators and for the composition operators.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/100689
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 26
  • ???jsp.display-item.citation.isi??? 21
social impact