Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential
Abstract
In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when EV(u0)M(u0)=E0(Q)M(Q). Moreover, we prove failure of the uniform space-time bounds at the mass-energy threshold.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.