Bilinear estimate for Schrödinger equation on R×T[jls-end-space/]

Yangkendi Deng; Boning Di; Chenjie Fan; Zehua Zhao

doi:10.1016/j.jfa.2025.111312

Bilinear estimate for Schrödinger equation on R×T[jls-end-space/]

Yangkendi Deng
, Boning Di^*
, Chenjie Fan
, Zehua Zhao

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We continue our study of bilinear estimates on the waveguide R×T started in[12,13]. The main point of the current article is, compared to previous work[12], that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples that saturate this estimate.

Original language	English
Article number	111312
Journal	Journal of Functional Analysis
Volume	290
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2025.111312
Publication status	Published - 15 Mar 2026

Keywords

Bilinear
Schrödinger equation
Waveguide manifold

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10.1016/j.jfa.2025.111312

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title = "Bilinear estimate for Schr{\"o}dinger equation on R×T[jls-end-space/]",

abstract = "We continue our study of bilinear estimates on the waveguide R×T started in[12,13]. The main point of the current article is, compared to previous work[12], that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples that saturate this estimate.",

keywords = "Bilinear, Schr{\"o}dinger equation, Waveguide manifold",

author = "Yangkendi Deng and Boning Di and Chenjie Fan and Zehua Zhao",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.",

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doi = "10.1016/j.jfa.2025.111312",

language = "English",

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T1 - Bilinear estimate for Schrödinger equation on R×T[jls-end-space/]

AU - Deng, Yangkendi

AU - Di, Boning

AU - Fan, Chenjie

AU - Zhao, Zehua

PY - 2026/3/15

Y1 - 2026/3/15

N2 - We continue our study of bilinear estimates on the waveguide R×T started in[12,13]. The main point of the current article is, compared to previous work[12], that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples that saturate this estimate.

AB - We continue our study of bilinear estimates on the waveguide R×T started in[12,13]. The main point of the current article is, compared to previous work[12], that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples that saturate this estimate.

KW - Bilinear

KW - Schrödinger equation

KW - Waveguide manifold

UR - https://www.scopus.com/pages/publications/105029721400

U2 - 10.1016/j.jfa.2025.111312

DO - 10.1016/j.jfa.2025.111312

M3 - Article

AN - SCOPUS:105029721400

SN - 0022-1236

VL - 290

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 6

M1 - 111312

ER -

Bilinear estimate for Schrödinger equation on R×T[jls-end-space/]

Abstract

Keywords

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