Around the normal derivative lemma

Alexander I. Nazarov; Darya E. Apushkinskaya

Around the normal derivative lemma

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 2206.08043 v1 pith:QILIW5A2 submitted 2022-06-16 math.AP

Darya E. Apushkinskaya , Alexander I. Nazarov This is my paper · ORCID

classification math.AP

keywords derivativelemmanormalprinciplearoundboundarydescriptiondifferential

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

This survey provides a description of the history and the state of the art of one of the most important fields in the qualitative theory of elliptic partial differential equations including the strong maximum principle, the boundary point principle (the normal derivative lemma) and related topics.

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

Dynamic Safety in Complex Environments: Synthesizing Safety Filters with Poisson's Equation
cs.RO 2025-05 conditional novelty 5.0 of 10

Solving Poisson's equation on an occupancy map with a tunable negative forcing function yields a smooth safety function that can be used as a control barrier function for collision-free robot control.

Pith tools