Pith. sign in

REVIEW 1 cited by

Local well-posedness for Chern-Simons gauged $O(3)$ sigma equations under the Lorenz gauge

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 2503.13871 v1 pith:MMHYKFWI submitted 2025-03-18 math.AP math-phmath.MP

Jin Guanghui , Huali Zhang This is my paper · ORCID
classification math.APmath-phmath.MP
keywords gaugechern-simonsfieldgaugedlocallorenzsigmaunder
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, we study the Cauchy problem for the Chern-Simons gauged $O(3)$ sigma model under the Lorenz gauge condition. We prove the local well-posedness of solutions if the initial matter field and gauge field satisfy $(\bm{\phi}_0, \bA_0) \in H^s(\R^2)\times H^{s-\frac12}(\R^2)$, $s>1$, where the critical regularity for $\bm{\phi}_0$ is $s_c=1$. Our proof is based on identifying null forms within the system and utilizing bilinear estimates in wave-Sobolev space.

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. Almost optimal well-posedness for Chern--Simons gauged $O(3)$ sigma model under the Lorenz gauge

    math.AP 2026-07 conditional novelty 7.0 of 10

    Local well-posedness for the Chern–Simons gauged O(3) sigma model under the Lorenz gauge is established at almost scaling-critical regularity in 1D and 2D, improving prior thresholds by one quarter of a derivative.

Pith tools