Normal forms for quasiperiodic evolutionary equations

Shui-Nee Chow; Kening Lu; Yun-Qiu Shen

doi:10.3934/dcds.1996.2.65

Article Contents

1996, Volume 2, Issue 1: 65-94. Doi: 10.3934/dcds.1996.2.65

This issue Previous Article Time dependent Volterra integral inclusions in Banach spaces Next Article Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations

Normal forms for quasiperiodic evolutionary equations

1.
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332
2.
Department of Mathematics, Brigham Young University, Provo, Utah 84602
3.
Department of Mathematics, Western Washington University, Bellingham, WA 98225

Received: January 31, 1995

Published: December 1995

Abstract Related Papers Cited by

Abstract

In this paper, we study the normal forms and analytic conjugacy for a class of analytic quasiperiodic evolutionary equations including parabolic equations and Schrödinger equations. We first obtain a normal form theory. Then as a special case of the normal form theory, we show that if the frequency and the eigenvalues satisfy certain small divisor conditions then the nonlinear equation is locally analytically conjugated to a linear equation. In other words, the normal form is a linear equation.

Keywords:

quasiperiodic evolutionary equations,
parabolic equations and Schrödinger equations.

Mathematics Subject Classification: 35Kxx.

Citation:

Article Metrics

HTML views() PDF downloads(86) Cited by(0)

Normal forms for quasiperiodic evolutionary equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Normal forms for quasiperiodic evolutionary equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content