Nonlinear vibrations of completely resonant wave equations

Massimiliano Berti. "Nonlinear vibrations of completely resonant wave equations." Banach Center Publications 77.1 (2007): 49-60. <http://eudml.org/doc/281725>.

@article{MassimilianoBerti2007,
abstract = {We present recent existence results of small amplitude periodic and quasi-periodic solutions of completely resonant nonlinear wave equations. Both infinite-dimensional bifurcation phenomena and small divisors difficulties occur. The proofs rely on bifurcation theory, Nash-Moser implicit function theorems, dynamical systems techniques and variational methods.},
author = {Massimiliano Berti},
journal = {Banach Center Publications},
keywords = {quasi-periodic solutions; resonant problems; Dirichlet boundary conditions; small divisors; inifinite-dimensional bifurcations; Nash-Moser implicit function theorems},
language = {eng},
number = {1},
pages = {49-60},
title = {Nonlinear vibrations of completely resonant wave equations},
url = {http://eudml.org/doc/281725},
volume = {77},
year = {2007},
}

TY - JOUR
AU - Massimiliano Berti
TI - Nonlinear vibrations of completely resonant wave equations
JO - Banach Center Publications
PY - 2007
VL - 77
IS - 1
SP - 49
EP - 60
AB - We present recent existence results of small amplitude periodic and quasi-periodic solutions of completely resonant nonlinear wave equations. Both infinite-dimensional bifurcation phenomena and small divisors difficulties occur. The proofs rely on bifurcation theory, Nash-Moser implicit function theorems, dynamical systems techniques and variational methods.
LA - eng
KW - quasi-periodic solutions; resonant problems; Dirichlet boundary conditions; small divisors; inifinite-dimensional bifurcations; Nash-Moser implicit function theorems
UR - http://eudml.org/doc/281725
ER -