An infinite dimensional Hamiltonian system takes the form

\begin{displaymath} (IHS) \;\; \left \{ \begin{array}{rll} \partial_t u -\Delt... ...orall (t,x) \in \mathbb{R} \times \Omega \end{array} \right. \end{displaymath}


where $\Omega\subset {\mathbb{R}}^N$ is a smoothly bounded domain, $H \in \mathcal{C}^1 (\mathbb{R}\times \overline{\Omega} \times \mathbb{R}^2, \mathbb{R})$.





Owned by X. Chen

Oct-13-2006