G*F_0(u)){\varphi}_N\|_{0p}, \nonumber \\  &\left|\int_{\mathbb}{R}({\partial}_xG*F_0(u))({\varphi}_Nu_x)^{0p-0}{\varphi}_Ndx\right| \leq \|u_x{\varphi}_N\|_{0p}^{0p-0}\|({\partial}_xG*F_0(u)){\varphi}_N\|_{0p}