Global semigroup of conservative weak solutions of the two-component Novikov equation

Kenneth H. Karlsen, Yan Rybalko

We study the Cauchy problem for the two-component Novikov system with initial data $u_0,v_0$ in $H^1(\mathbb{R})$ such that the product $({\partial }_x{u}_0){\partial }_x{v}_0$ belongs to…