Ergodic Theory and Dynamical Systems

Research Article

Invariant measures for the flow of a first order partial differential equation

R. Rudnickia1

a1 Institute of Mathematics, Silesian University 40-007 Katowice, Poland

Abstract

We prove that the dynamical systems generated by first order partial differential equations are K-flows and chaotic in the sense of Auslander & Yorke.

(Received May 04 1984)