Preprint
Aug 2026
Scattering Theory For 3D Cubic Damped Magnetic Schr\"odinger Equation
We consider the three-dimensional defocusing cubic nonlinear Schr\"odinger equation with variable coefficients, a magnetic potential, and a non-negative localized damping term, \[ i\partial_tu+(\nabla-iA)\cdot G(\nabla-iA)u+ia(x)u=|u|^2u, \qquad t>0,\quad x\in\mathbb R^3. \] No non-trapping condition is imposed on the...
Luca Fanelli, Haruya Mizutani, Yi-Lin Song et al.
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