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Equivariant Lyapunof Center Theorem

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ISBN-10: 3843354006

ISBN-13: 9783843354004

Edition: N/A

Authors: Cristina Bardelle

List price: $64.00
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Description:

We prove the existence of small amplitude quasi- periodic solutions of some nonlinear Hamiltonian partial differential equations, exploiting the symmetries of the systems. Our theorem is obtained requiring a Dyophantine type nonresonance condition, a standard nondegeneracy condition and assuming a regularizing property of the nonlinearity. The proof is based on the Lyapunov-Schmidt reduction method, a suitable analysis of small denominators and on the standard implicit function theorem. We apply our result to the nonlinear beam equation with spatial periodic boundary conditions, to a beam vibrating in a two dimensional space with Dirichlet boundary conditions and to the nonlinear wave…    
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Book details

List price: $64.00
Publisher: Lambert Academic Publishing
Binding: Paperback
Pages: 84
Size: 6.00" wide x 9.00" long x 0.20" tall
Weight: 0.308
Language: English