STABILITY ESTIMATES FOR THE RECOVERY OF THE NONLINEARITY FROM SCATTERING DATA

Author

Gong Chen
Jason Murphy, Missouri University of Science and TechnologyFollow

Abstract

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 (Formula Present) in three space dimensions, with (Formula Present) and a ∈ W1, ∞.

Recommended Citation

G. Chen and J. Murphy, "STABILITY ESTIMATES FOR THE RECOVERY OF THE NONLINEARITY FROM SCATTERING DATA," Pure and Applied Analysis, vol. 6, no. 1, pp. 305 - 317, Mathematical Sciences Publishers, Jan 2024.

The definitive version is available at https://doi.org/10.2140/paa.2024.6.305

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-2137217

Keywords and Phrases

inverse scattering; NLS; scattering; stability

International Standard Serial Number (ISSN)

2578-5885; 2578-5893

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Mathematical Sciences Publishers, All rights reserved.

Publication Date

01 Jan 2024