Nonlinear wave equations model the propagation of waves in a wide range of Nonlinear wave equations model the propagation of waves in a wide range of physical systems, from acoustics to electromagnetics, from seismic motions to vibrating string and elastic membranes, where oscillatory phenomena occur. Because of this intrinsic oscillatory physical structure, it is natural, from a mathematical point of view, to investigate the question of the existence of oscillations, namely periodic and quasi-periodic solutions, for the equations governing such physical systems. This is the central question of this Thesis.

Bifurcation of free and forced vibrations for nonlinear wave and Kirchhoff equations via Nash-Moser theory / Baldi, Pietro. - (2007 Oct 25).

Bifurcation of free and forced vibrations for nonlinear wave and Kirchhoff equations via Nash-Moser theory

Baldi, Pietro
2007-10-25

Abstract

Nonlinear wave equations model the propagation of waves in a wide range of Nonlinear wave equations model the propagation of waves in a wide range of physical systems, from acoustics to electromagnetics, from seismic motions to vibrating string and elastic membranes, where oscillatory phenomena occur. Because of this intrinsic oscillatory physical structure, it is natural, from a mathematical point of view, to investigate the question of the existence of oscillations, namely periodic and quasi-periodic solutions, for the equations governing such physical systems. This is the central question of this Thesis.
Ambrosetti, Antonio Giacomo
Berti, Massimiliano
Baldi, Pietro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/3952
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