Equivariant Lyapunof Center Theorem


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  • Product 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 equation with spatial periodic boundary conditions.

Product Specifications
SKU :COC38854
AuthorCristina Bardelle
Number of Pages84
Publishing Year9/21/2010
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-01-08 00:00:00
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