Almost-Periodic Response Solutions for a Forced Quasi-Linear Airy Equation-Reference-Cited by-同舟云学术

Almost-Periodic Response Solutions for a Forced Quasi-Linear Airy Equation

Published:2020-10-23 Issue:3 Volume:33 Page:1231-1267
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Corsi Livia,Montalto Riccardo^ORCID,Procesi Michela

Abstract

AbstractWe prove the existence of almost-periodic solutions for quasi-linear perturbations of the Airy equation. This is the first result about the existence of this type of solutions for a quasi-linear PDE. The solutions turn out to be analytic in time and space. To prove our result we use a Craig–Wayne approach combined with a KAM reducibility scheme and pseudo-differential calculus on

$$\mathbb {T}^\infty $$

T ∞ .

Funder

INDAM-GNFM

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10884-020-09906-8.pdf

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