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math.AP2002★ 1 cited
Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
P. Deift, X. Zhou
The authors compute the long-time asymptotics for solutions of the NLS equation just under the assumption that the initial data lies in a weighted Sobolev space. In earlier work (s…
math.AP1992★ 1 cited
A steepest descent method for oscillatory Riemann-Hilbert problems
Percy Deift, Xin Zhou
In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory Riemann-Hilbert problems. Such problems arise, in particular, in evaluating t…