A priori Lp estimates for solutions of Riemann-Hilbert Problems
P. Deift, X. Zhou
Abstract
The authors 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.
Create a lesson
Related papers
Characterizing higher-dimensional Hölder domains via spherical geometric functions
Emily Casey, Max Engelstein, Tatiana Toro
The second type of power mean bounds for the hypergeometric mean
Zhen-Hang Yang, Jing-Feng Tian
Spread-out Furstenberg sets II: general configurations and fractal restricted projections
Alex Cohen, Pablo Shmerkin, Hong Wang et al.
Spread-out Furstenberg sets I: the sticky case
Tuomas Orponen, Pablo Shmerkin
Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature
Vladimir G. Tkachev
Sharp power-weight estimates for the fractional spherical maximal operator
Riju Basak, Surjeet Singh Choudhary, Chun-Yen Shen et al.