The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously suitable multipliers.
Meng Xu. Li Liu. Hairong Yuan. "On Tricomi Problem of Chaplygin’s Hodograph Equation." Abstr. Appl. Anal. 2015 1 - 11, 2015. https://doi.org/10.1155/2015/754781