Local uniqueness for an inverse boundary value problem with partial data

Bastian Harrach, Marcel Ullrich

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In dimension n ≥ 3, we prove a local uniqueness result for the potentials q of the Schrödinger equation −Δu + qu = 0 from partial boundary data. More precisely, we show that potentials q1, q2 Є L with positive essential infima can be distinguished by local boundary data if there is a neighborhood of a boundary part where q1 ≥ q2 and q1 ≢ q2.

Original languageEnglish
Pages (from-to)1087-1095
Number of pages9
JournalProceedings of the American Mathematical Society
Volume145
Issue number3
DOIs
StatePublished - 2017
Externally publishedYes

Fingerprint

Dive into the research topics of 'Local uniqueness for an inverse boundary value problem with partial data'. Together they form a unique fingerprint.

Cite this