A limiting absorption principle for high-order Schrödinger operators in critical spaces-Reference-Cited by-同舟云学术

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A limiting absorption principle for high-order Schrödinger operators in critical spaces

Published:2023-12-01 Issue:4 Volume:67 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Su Xiaoyan¹,Xu Chengbin²,Xu Guixiang¹,Yu Xiaoqing¹

Affiliation:

1. Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China

2. School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, 810008, P. R. China

Publisher

Duke University Press

Subject

General Mathematics

Reference20 articles.

1. S. Agmon and L. Hörmander, Asymptotic properties of solutions of differential equations with simple characteristics, J. Analyse Math. 30 (1976), 1–38.

2. J. G. Bak and A. Seeger, Extensions of the Stein–Tomas theorem, Math. Res. Lett. 18 (2011), no. 4, 767–781.

3. M. B. Erdoğan, W. R. Green, and E. Toprak, On the fourth order Schrödinger equation in three dimensions: Dispersive estimates and zero energy resonance, J. Differential Equations 271 (2021), 152–185.

4. H. Feng, A. Soffer, and X. Yao, Decay estimates and Strichartz estimates of fourth-order Schrödinger operator, J. Funct. Anal. 274 (2018), no. 2, 605–658.

5. M. Goldberg and W. Schlag, A limiting absorption principle for the three-dimensional Schrödinger equation with $L^{p}$ potential, Int. Math. Res. Not. No. 75, 4049–4071, 2004.

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