Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion

Razvan Gabriel Iagar, Philippe Laurençot, Christian Stinner

For a large class of non-negative initial data, the solutions to the quasilinear viscous Hamilton-Jacobi equation $\partial \_tu-\Delta \_pu+|\nabla u{|}^q=0$ in $(0,\infty )\times {\Re }^N$…