Well-posedness for Fractional Hardy-Hénon parabolic equations with fractional Brownian motion

In this paper, we consider fractional Hardy-Hénon parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msup></mml:math> mild solutions are proved.

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Publication Details

Journal
Miskolc mathematical notes/Mathematical notes
Published
2025-01-01
DOI
https://doi.org/10.18514/mmn.2025.4575
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Well-posedness for Fractional Hardy-Hénon parabolic equations with fractional Brownian motion

Kexue Li
Miskolc mathematical notes/Mathematical notes
Advanced Mathematical Physics Problems
article

Well-posedness for Fractional Hardy-Hénon parabolic equations with fractional Brownian motion

Kexue Li
article en

Abstract

In this paper, we consider fractional Hardy-Hénon parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msup></mml:math> mild solutions are proved.

Miskolc mathematical notes/Mathematical notesVol. 26(1)
Openalex Percentile: Top 83%
Advanced Mathematical Physics Problems
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