most citedResolvent Estimates for the 3D Schrödinger Operator with Inverse-Square Potential

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math.AP2017★ 1 cited

Resolvent Estimates for the 3D Schrödinger Operator with Inverse-Square Potential

Alexander Adam Azzam

We consider the unitary group for the Schrödinger operator with inverse-square potential. We adapt Combes-Thomas estimates to show that, when restricted to non-radial functions, th…

math.AP2015

Scattering for the two-dimensional NLS with (full) exponential nonlinearity

Alexander Adam Azzam

We obtain global well-posedness, scattering, and global spacetime bounds for energy-space solutions to the energy-subcritical nonlinear Schrödinger equation \[iu…