The well-posedness of global strong solutions for a nonlinear partial differential equation including the Novikov equation is established provided that its initial value satisfies a sign condition and with . If the initial value and the mean function of satisfies the sign condition, it is proved that there exists at least one global weak solution to the equation in the space in the sense of distribution and .
Haibo Yan. Ls Yong. "On the Study of Global Solutions for a Nonlinear Equation." Abstr. Appl. Anal. 2014 (SI13) 1 - 5, 2014. https://doi.org/10.1155/2014/808214