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Lindstedt series for periodic solutions on nonlinear wave equations

Speaker: 
V. Mastropietro,
Institution: 
University "Tor Vergata", Roma
Schedule: 
Tuesday, November 25, 2003 - 06:30 to 07:30
Location: 
room D
Abstract: 

I describe a work, in collaboration with G.Gentile, in which we have defined a Linsdedt series expansion for the periodic solutions of nonlinear wave equations like the Klein-Gordon or the sine-Gordon equations. After suitable resummation this expansion is convergent for a large set of amplitudes and a large set of masses of full Lebesgue measure. We have recently extended this result, in collaboration also with M.Procesi, to the case of the string equation.

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