Answers are grounded in this paper and cite their sources.
For rather general nonlinearities, we prove that defocusing nonlinear Schrödinger equations in ℝ n (n ≤ 4), with non-vanishing initial data at infinity u 0, are globally well-posed in u 0 + H 1. The same result holds in an exterior domain in ℝ n , n = 2, 3.
No takes yet. Share an insight, caveat, or question.
Clément Gallo (2008) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: