The approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space by assuming that the initial value only lies in the space .
Haibo Yan. Ls Yong. "The Local Stability of Solutions for a Nonlinear Equation." Abstr. Appl. Anal. 2014 (SI13) 1 - 6, 2014. https://doi.org/10.1155/2014/781813