The $L^2$ contraction of solutions with large perturbation in multiple space dimensions from the oscillatory dispersive planar shock

Geng Chen, Harish Ravichandar, Yannan Shen

In this paper, we show the $L^2$ contraction property of the planar oscillatory or monotone dispersive shock profiles of the dissipative Kadomtsev-Petviashvili (KP) equation modell…