Strichartz Estimates for One Dimensional Stochastic Schrodinger Equation with Potential

TL;DR

This paper establishes Strichartz estimates for a one-dimensional stochastic Schrödinger equation with potential and white noise dispersion, advancing understanding of dispersive properties under stochastic influences.

Contribution

It introduces new Strichartz estimates for the stochastic Schrödinger equation with potential, extending deterministic results to stochastic settings in one dimension.

Findings

Proved Strichartz estimates for the stochastic Schrödinger equation with potential.

Explored dispersive estimates using existing theoretical frameworks.

Extended deterministic dispersive results to stochastic scenarios.

Abstract

This paper proves Strichartz estimates for the Schrodinger Equation with a potential term and white noise dispersion in dimension $1$. We also explore dispersive estimates using previous results in the field.