Abstract
We construct a bounded function $H : l_2\times l_2 \to R$ with continuous Frechet derivative such that for any $q_0\in l_2$ the Cauchy problem $\dot p= - {\partial H\over\partial q}$, $\dot q={\partial H\over\partial p}$, $p(0) = 0$, q(0) = q_0$ has no solutions in any neighborhood of zero in R.
| Original language | English |
|---|---|
| Pages (from-to) | 145-154 |
| Number of pages | 10 |
| Journal | Infinite Dimensional Analysis Quantum Probability and Related Topics |
| Volume | 6 |
| Publication status | Published - 2003 |