# American Institute of Mathematical Sciences

January  1996, 2(1): 65-94. doi: 10.3934/dcds.1996.2.65

## Normal forms for quasiperiodic evolutionary equations

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

Received  February 1995 Published  October 1995

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.
Citation: Shui-Nee Chow, Kening Lu, Yun-Qiu Shen. Normal forms for quasiperiodic evolutionary equations. Discrete & Continuous Dynamical Systems - A, 1996, 2 (1) : 65-94. doi: 10.3934/dcds.1996.2.65
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