A lower index bilinear estimate for the quadratic Schrödinger equation and application for its half line problem

2023/09/27 by Li, Shenghao, Yang, Xin
#35C15 #35M13 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.15773

Abstract

We prove the local well-posedness of the initial boundary value problem for the nonlinear quadratic Schrödinger equation under low initial-boundary regularity assumption via the boundary integral operator method introduced by Bona-Sun-Zhang (Trans. Amer. Math. Soc., 354(2):427-490, 2002).

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