Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Acta Applicandae Mathematicae Année : 2001

Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations

Résumé

We build spaces of q.p. (quasi-periodic) functions and we establish some of their properties. They are motivated by the Percival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinary Differential Equation. We use this approach to obtain some regularization theorems of weak q.p. solutions of differential equations. For a large class of differential equations, the first theorem gives a result of density: a particular form of perturbated equations have strong solutions. The second theorem gives a condition which insures that any essentially bounded weak solution is a strong one.
Fichier non déposé

Dates et versions

hal-00617443 , version 1 (29-08-2011)

Identifiants

  • HAL Id : hal-00617443 , version 1

Citer

Joël Blot, Denis Pennequin. Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations. Acta Applicandae Mathematicae, 2001, 65, pp.83-113. ⟨hal-00617443⟩
68 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More