Strichartz estimates for the Schrodinger equation on irrational tori
Yu Deng, Pierre Germain, Larry Guth
TL;DR
This paper establishes optimal Strichartz estimates for the Schrödinger equation on irrational tori over large time scales, enhancing understanding of dispersive properties in irrational geometries.
Contribution
It provides the first optimal Strichartz estimates for irrational tori, particularly for Lebesgue exponents greater than 6, over large time scales.
Findings
Optimal Strichartz estimates proved for irrational tori.
Estimates are valid for Lebesgue exponents p > 6.
Results improve understanding of Schrödinger dynamics on irrational geometries.
Abstract
We prove Strichartz estimates over large time scales for the Schrodinger equation set on irrational tori. They are optimal for Lebesgue exponents .
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Advanced Harmonic Analysis Research