Periodic solutions of forced Kirchhoff equations

被引：0

作者：

Baldi, Pietro ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2009年 / 8卷 / 01期

关键词：

NONLINEAR-WAVE EQUATIONS; CANTOR FAMILIES; CONSTRUCTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Kirchhoff equation for a vibrating body, in any dimension, in the presence of a time-periodic external forcing with period 2 pi/omega and amplitude epsilon. We treat both Dirichlet and space-periodic boundary conditions, and both analytic and Sobolev regularity. We prove the existence, regularity and local uniqueness of time-periodic solutions, using a Nash-Moser iteration scheme. The results hold for parameters (omega, epsilon) in a Cantor set with asymptotically full measure as epsilon -> 0.

引用

页码：117 / 141

页数：25

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