Sharp Strichartz estimates for some variable coefficient Schrödinger operators on R×T2
Name
10.3934_mine.2022033.pdf
Description
Published version
Size
383.64 KB
Format
Adobe PDF
Checksum (MD5)
1ff0d498df4146af168f8d45e670edd3
Author(s)
Federico, Serena
Staffilani, Gigliola
Date Issued
2021
Journal
Mathematics in Engineering
Publisher
American Institute of Mathematical Sciences (AIMS)
Citation
Federico, Serena and Staffilani, Gigliola. 2021. "Sharp Strichartz estimates for some variable coefficient Schrödinger operators on R×T2." Mathematics in Engineering, 4 (4).
Version
Final published version
Abstract
<abstract><p>In the first part of the paper we continue the study of solutions to Schrödinger equations with a time singularity in the dispersive relation and in the periodic setting. In the second we show that if the Schrödinger operator involves a Laplace operator with variable coefficients with a particular dependence on the space variables, then one can prove Strichartz estimates at the same regularity as that needed for constant coefficients. Our work presents a two dimensional analysis, but we expect that with the obvious adjustments similar results are available in higher dimensions.</p></abstract>
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3934/MINE.2022033
