00VT Theorem 2.1 ([DP, EGZ2]). There is a constant CC that depends only on X,E,ωX,ω0X,E,\omega_{X},\omega_{0} such that for all 0<t≤10<t\leq 1 we have (2.8) ‖φt‖L∞≤C.\|\varphi_{t}\|_{L^{\infty}}\leq C.