Stability estimates for the recovery of the nonlinearity from scattering data

We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form

(i \partial_{t} + Δ) u = a (x) | u |^{p} u

in three space dimensions, with $p \in [\frac{4}{3}, 4]$ and $a \in W^{1, \infty}$ .

PDF Access Denied

We have not been able to recognize your IP address 44.220.181.180 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

NLS, scattering, inverse scattering, stability

Mathematical Subject Classification

Primary: 35Q55

Milestones

Received: 10 May 2023

Revised: 23 July 2023

Accepted: 30 October 2023

Published: 22 February 2024

Authors

Gong Chen
Georgia Institute of Technology Atlanta, GA United States

Jason Murphy
Missouri University of Science & Technology Rolla, MO United States

Vol. 6, No. 1, 2024

Gong Chen and Jason Murphy

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors