Scattering of the focusing energy-critical NLS with inverse square potential
Scattering of the focusing energy-critical NLS with inverse square potential
We consider the Cauchy problem for the focusing energy-critical nonlinear Schrödinger equation with an inverse square potential in dimension $ d = 4, 5, 6 $. We show that if the supremum of the kinetic energy of a solution over its maximal lifespan is less than the kinetic energy of …