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Sharp L4 Strichartz estimate for the Zakharov--Kuznetsov equation on ℝ×𝕋
Abstract
We prove the local L4 Strichartz estimate without derivative loss for the Zakharov--Kuznetsov flow on ℝ×𝕋. This reaches the sharp spatial regularity endpoint and implies the embedding X0,b↪ L4 for every b>1/2. The proof reduces the estimate to a semi-algebraic mixed-measure estimate.
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BibTeX
@misc{basakoglu2026sharp,
title = {{Sharp $L^4$ Strichartz estimate for the Zakharov--Kuznetsov equation on $\mathbbR\times\mathbbT$}},
author = {Engin Başakoğlu and Wenting Hu and Yuzhao Wang and Oğuz Yılmaz},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37805},
eprint = {2610.37805},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37805},
}
RIS
TY - UNPB
TI - Sharp L^4 Strichartz estimate for the Zakharov--Kuznetsov equation on ℝ×𝕋
AU - Engin Başakoğlu
AU - Wenting Hu
AU - Yuzhao Wang
AU - Oğuz Yılmaz
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37805
UR - https://arxiv.org/abs/2610.37805
AB - We prove the local L^4 Strichartz estimate without derivative loss for the Zakharov--Kuznetsov flow on ℝ×𝕋. This reaches the sharp spatial regularity endpoint and implies the embedding X^0,b↪ L^4 for every b>1/2. The proof reduces the estimate to a semi-algebraic mixed-measure estimate.
ER -