Strichartz estimates for the periodic non elliptic Schrodinger equation

TL;DR

This paper establishes sharp Strichartz estimates with derivative losses for the non-elliptic Schrödinger equation on a 2D torus, advancing understanding of dispersive PDEs in periodic non-elliptic settings.

Contribution

It provides the first sharp Strichartz estimates with derivative losses specifically for the non-elliptic Schrödinger equation on the 2D torus.

Findings

Proved sharp Strichartz estimates with derivative losses.

Extended dispersive PDE analysis to non-elliptic periodic settings.

Enhanced understanding of solution behavior for non-elliptic Schrödinger equations.

Abstract

The purpose of this note is to prove sharp Strichartz estimates with derivative losses for the non elliptic Schrodinger equation posed on the 2 dimensional torus.