Pith. sign in

REVIEW 1 cited by

Local well-posedness of subcritical non-linear heat equations with Gaussian initial data

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 2410.11638 v2 pith:H6XD5SDH submitted 2024-10-15 math.PR math.AP

Ilya Chevyrev , Hora Mirsajjadi This is my paper · ORCID
classification math.PRmath.AP
keywords arxivdimensiongaussianheatinitialnon-linearresultssubcritical
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We show that any non-linear heat equation with scaling critical dimension $-1$ is locally well-posed when its initial condition is taken as the Gaussian free field in fractional dimension $d < 4$. Our results in particular extend the well-posedness results of arXiv:2111.10652, arXiv:2201.03487 from $d=3$ to the entire subcritical regime.

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. Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime

    math.PR 2025-01 conditional novelty 7.0 of 10

    Invariant measures of parabolic SPDEs with odd polynomial nonlinearities in the Da Prato-Debussche regime are non-Gaussian, proved by stationary generator identities.

Pith tools