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International Mathematics Research Notices (2002) 2002:2121-2154, doi:10.1155/S1073792802205103
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Copyright © 2002 Hindawi Publishing Corporation. All rights reserved.

A priori Lp-estimates for solutions of Riemann-Hilbert problems

Percy Deift and Xin Zhou

We use steepest-descent ideas to obtain a priori Lp-estimates for solutions of Riemann-Hilbert problems. Such estimates play a crucial role, in particular, in analyzing the long-time behavior of solutions of the perturbed nonlinear Schrödinger equation on the line.


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