Pith. sign in

REVIEW 1 cited by

Spectral asymptotics for Robin Laplacians on Lipschitz sets

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 2410.22238 v2 pith:3TVF5AGT submitted 2024-10-29 math.SP math-phmath.MP

Rupert L. Frank , Simon Larson This is my paper · ORCID
classification math.SPmath-phmath.MP
keywords asymptoticsboundaryconditionsmeansrieszrobineigenvalueslipschitz
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We prove two-term spectral asymptotics for the Riesz means of the eigenvalues of the Laplacian on a Lipschitz domain with Robin boundary conditions. The second term is the same as in the case of Neumann boundary conditions. This is valid for Riesz means of arbitrary positive order. For orders at least one and under additional assumptions on the function determining the boundary conditions we derive leading order asymptotics for the difference between Riesz means of Robin and Neumann eigenvalues.

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

  1. Spectral comparison results for Laplacians on discrete graphs

    math.SP 2024-12 conditional novelty 4.0 of 10

    On discrete graphs with purely discrete spectrum, the summed eigenvalue difference between the Laplacian with and without a potential equals the weighted sum of the potential.

Pith tools