Constructs asymptotically self-similar global stable solutions with nonzero L² norm for some nonlinear Schrödinger equations, including two-bubble cases, and associates them with a scattering channel using the dilation operator.
The Schr¨ odinger equation with a potential in rough motion.Communications in Partial Differential Equations, 37(6), 969-1000.(2012)
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On the Existence of Self-Similar solutions for some Nonlinear Schr\"odinger equations
Constructs asymptotically self-similar global stable solutions with nonzero L² norm for some nonlinear Schrödinger equations, including two-bubble cases, and associates them with a scattering channel using the dilation operator.