Prefer a chat interface with context about you and your work?
The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions
We study the defocusing nonlinear Schrödinger equation in three space dimensions. We prove that any radial solution that remains bounded in the critical Sobolev space must be global and scatter. In the energy-supercritical setting we employ a space-localized Lin–Strauss Morawetz inequality of Bourgain. In the intercritical regime we prove long-time …