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Bilinear Strichartz Estimates and Linear Morawetz Estimates for Schrödinger Operators with Potentials
Abstract
In dimensions three and above, we establish bilinear Strichartz estimates for Schrödinger operators with potentials using perturbative arguments and Morawetz estimates. Our approach does not require smallness of the potential. As part of the analysis, we also establish endpoint versions of the bilinear Christ-Kiselev lemma.
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BibTeX
@misc{wilson2026bilinear,
title = {{Bilinear Strichartz Estimates and Linear Morawetz Estimates for Schrödinger Operators with Potentials}},
author = {Bobby Wilson and Xueying Yu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00454},
eprint = {2611.00454},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00454},
}
RIS
TY - UNPB
TI - Bilinear Strichartz Estimates and Linear Morawetz Estimates for Schrödinger Operators with Potentials
AU - Bobby Wilson
AU - Xueying Yu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00454
UR - https://arxiv.org/abs/2611.00454
AB - In dimensions three and above, we establish bilinear Strichartz estimates for Schrödinger operators with potentials using perturbative arguments and Morawetz estimates. Our approach does not require smallness of the potential. As part of the analysis, we also establish endpoint versions of the bilinear Christ-Kiselev lemma.
ER -