@article{Federico2022, 
author = {Serena Federico and Gigliola Staffilani},
title = {Sharp Strichartz estimates for some variable coefficient Schrödinger operators on        R    ×            T        2},
year = {2022},
journal = {Mathematics in Engineering},
volume = {4},
number = {4},
pages = {1-23},
keywords = {Schrödinger equations on the torus, variable coefficient Schrödinger equations, Strichartz estimates, periodic NLS, time-degenerate equations},
url = {https://www.sciopen.com/article/10.3934/mine.2022033},
doi = {10.3934/mine.2022033},
abstract = {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.}
}