Electron. J. Diff. Eqns., Monograph 03, 2002.

Title: Linearization via the Lie Derivative

Author:  Mihai Bostan (Univ. de Franche-Comte,  Besancon Cedex, France)

Abstract:
 We study the existence and uniqueness of periodic solutions for 
evolution equations. First we analyze the one-dimensional case. 
Then for arbitrary dimensions (finite or not), we consider linear 
symmetric operators. We also prove the same results for non-linear 
sub-differential operators $A = \partial \varphi$  where 
$\varphi$ is convex.

Submitted May 14, 2002. Published August 23, 2002.
Math Subject Classifications: 34B05, 34G10, 34G20.
Key Words: Maximal monotone operators; evolution equations; 
Hille-Yosida's theory.