The Kato theorem for abstract differential equations is applied to establish the local well-posedness of the strong solution for a nonlinear generalized Novikov equation in space with . The existence of weak solutions for the equation in lower-order Sobolev space with is acquired.
"The Local Strong and Weak Solutions for a Generalized Novikov Equation." Abstr. Appl. Anal. 2012 (SI11) 1 - 14, 2012. https://doi.org/10.1155/2012/158126