Hölder stability for a semilinear elliptic inverse problem

Choulli, Mourad

doi:10.1016/j.jmaa.2023.127639

Journal of Mathematical Analysis and Applications

2024

DOI: 10.1016/j.jmaa.2023.127639

|View full text |Cite

Hölder stability for a semilinear elliptic inverse problem

Mourad Choulli

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

Zhao,

Yuan

2023

Inverse Problems

View full text Add to dashboard Cite

In this paper, we study the partial data inverse boundary value problem for the Schr ¨odinger operator at a high frequency k ≥ 1 in a bounded domain with smooth boundary in ℝn, n ≥ 3. Assuming that the potential is known in a neighborhood of the boundary, we obtain the logarithmic stability when both Dirichlet data and Neumann data are taken on arbitrary open subsets of the boundary where the two sets can be disjointed. Our results also show that the logarithmic stability can be improved to the one of H ¨older type in the high frequency regime. To achieve those goals, we used a method by combining the CGO sulution, Runge approximation and Carleman estimate.

show abstract

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

Zhao,

Yuan

2023

Inverse Problems

View full text Add to dashboard Cite

show abstract

Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

Choulli

2023

Comptes Rendus. Mathématique

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Hölder stability for a semilinear elliptic inverse problem

Cited by 2 publications

References 16 publications

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

Contact Info

Product

Resources

About