The General Quasilinear Ultrahyperbolic Schr\"odinger Equation

TL;DR

This paper develops a local existence theory for solutions to a broad class of quasi-linear ultrahyperbolic Schrödinger equations, expanding understanding of their well-posedness.

Contribution

It introduces a novel local existence framework for the general quasi-linear ultrahyperbolic Schrödinger equation, addressing a gap in the mathematical theory.

Findings

Established local existence for the initial value problem

Extended the theory to a general class of ultrahyperbolic Schrödinger equations

Provided foundational results for future analysis of these equations

Abstract

In this work we establish a local existence theory for the initial value problem associated to the general quasi-linear ultrahyperbolic Schr\"odinger equation.