Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data

2012/05/20 by Oleg Imanuvilov, Masahiro Yamamoto, Imanuvilov, Oleg +1 · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1205.4438

openalex publication_date 2012/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a semilinear elliptic equation, we prove uniqueness results in determining potentials and semilinear terms from partial Cauchy data on an arbitrary subboundary.

Citations

• Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem

Cited by

• An Inverse Problem for the Prescribed Mean Curvature
• Pattern formations of coupled PDEs with transparent boundary conditions in product-type ends and applications
• Inverse problems for semilinear elliptic equations with low regularity

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