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arXiv · 2309.15773

A lower index bilinear estimate for the quadratic Schr\"odinger equation and application for its half line problem

Shenghao Li·Xin Yang
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Abstract

We prove the local well-posedness of the initial boundary value problem for the nonlinear quadratic Schr\"odinger 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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Shenghao Li, Xin Yang. 2023-09-27. A lower index bilinear estimate for the quadratic Schr\"odinger equation and application for its half line problem. https://arxiv.org/abs/2309.15773

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