## Explicit definition of an exact measure for the semiflow of a first order partial differential equation.(English)Zbl 0624.35012

From the authors’ summary: “The semiflow on C[0,1] generated by the initial problem $u_ t+c(x)u_ x=f(x,u),\quad x\in [0,1],\quad t\in [0,+\infty),\quad u(0,x)=v,$ is considered. A constructive definition of a scaling of the real line is given for proving exactness of the restrictions of the semiflow to subsets which are invariant with respect to the semiflow.”
Reviewer: Z.Kamont

### MSC:

 35F25 Initial value problems for nonlinear first-order PDEs 37-XX Dynamical systems and ergodic theory
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