Periodic solutions for evolution equations

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.

Keywords

• Maximal monotone operators
• evolution equations
• Hille-Yosida's theory.