Stable self-similar blow-up dynamics for slightly $L^2$-supercritical generalized KdV equations

Yang Lan

In this paper we consider the slightly $L^2$-supercritical gKdV equations ${\partial }_{t}u+(u_{xx}+u|u{|}^{p-1}{)}_x=0$, with the nonlinearity $5<p<5+\epsilon$ and $0<\epsilon \ll 1$…