The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is in BMO. In particular, we allow for unbounded coefficients.

Authors

Publication Details

Journal
Nonlinear Analysis
Published
2025-06-24
DOI
https://doi.org/10.1016/j.na.2025.113876
Citations
1
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
3.69

Funders

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article

The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

Alireza Ataei, Kaj Nyström
1 citations
Nonlinear Analysis
Numerical methods in inverse problems
3.69
article

The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

Alireza Ataei, Kaj Nyström
article en
1 citations

Abstract

We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is in BMO. In particular, we allow for unbounded coefficients.

Nonlinear AnalysisVol. 261
Vetenskapsrådet
Openalex Percentile: Top 9%
Numerical methods in inverse problems
3.69
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The Kato square root problem for parabolic operators with an anti-symmetric part in BMO — Alireza Ataei, Kaj Nyström · Nonlinear Analysis (2025) | TGRS Research Map | TGRS