A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems

P. Deift; X. Zhou

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A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems

P. Deift·X. Zhou

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Abstract

The authors use steepest descent ideas to obtain a priori $L^p$ 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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P. Deift, X. Zhou. 2002-06-21. A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems. https://arxiv.org/abs/math/0206224

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