Sharp Strichartz estimates for some variable coefficient Schrödinger operators on R×T2

Autor: Serena Federico, Gigliola Staffilani
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics in Engineering, Vol 4, Iss 4, Pp 1-23 (2022)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2022033?viewType=HTML
Popis: 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.
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