Pith. sign in

REVIEW 1 cited by

Uniqueness for the Schr\"odinger Equation on Graphs with Potential Vanishing at Infinity

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 2407.05757 v1 pith:GMOMR4TC submitted 2024-07-08 math.AP

Fabio Punzo , Marcello Svagna This is my paper · ORCID
classification math.AP
keywords potentialequationgraphsinfiniteodingerschruniquenesscertain
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We investigate the uniqueness, in suitable weighted $\ell^p$ spaces, of solutions to the Schr\"odinger equation with a potential, posed on infinite graphs. The potential can tend to zero at infinite with a certain rate.

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. On a semilinear parabolic equation with time-dependent source term on infinite graphs

    math.AP 2025-02 reject novelty 4.0 of 10

    For u_t = Δu + h(t)u^q on infinite graphs with λ1(G)>0, the paper claims blow-up for fast-growing h and global small data when ∫ h(t)e^{-λ1(q-1)t}dt is finite, but the general blow-up theorem is vitiated by a sign error.

Pith tools