On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential

Li Li

On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2005.06714 v2 pith:VUP3C6XX submitted 2020-05-14 math.AP

Li Li This is my paper · ORCID

classification math.AP

keywords ellipticfractionalproblemsemilinearapproximationcalderclasscorresponding

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We study a class of fractional semilinear elliptic equations and formulate the corresponding Calder\'on problem. We determine the nonlinearity from the exterior partial measurements of the Dirichlet-to-Neumann map by using first order linearization and the Runge approximation property.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Geometrical optics for the fractional Helmholtz equation and applications to inverse problems
math.AP 2024-12 conditional novelty 8.0 of 10

Fractional Helmholtz operators admit high-frequency geometrical optics solutions, and for s≥1/2 these give Hölder stable recovery of the potential from multi-frequency boundary Cauchy data.

Pith tools