WELL-POSEDNESS FOR FRACTIONAL HARDY-HéNON PARABOLIC EQUATIONS WITH FRACTIONAL BROWNIAN MOTION

Kexue Li

doi:10.18514/MMN.2025.4575

WELL-POSEDNESS FOR FRACTIONAL HARDY-HéNON PARABOLIC EQUATIONS WITH FRACTIONAL BROWNIAN MOTION

Kexue Li

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider fractional Hardy-Hénon parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of L^q mild solutions are proved.

Original language	English
Pages (from-to)	383-393
Number of pages	11
Journal	Miskolc Mathematical Notes
Volume	26
Issue number	1
DOIs	https://doi.org/10.18514/MMN.2025.4575
State	Published - 2025

Keywords

L solution
fractional Brownian motion
fractional Hardy-Hénon parabolic equations
stochastic equations

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10.18514/MMN.2025.4575

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@article{ee905f23cb5b44688831dc7379248aef,

title = "WELL-POSEDNESS FOR FRACTIONAL HARDY-H{\'e}NON PARABOLIC EQUATIONS WITH FRACTIONAL BROWNIAN MOTION",

abstract = "In this paper, we consider fractional Hardy-H{\'e}non parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of Lq mild solutions are proved.",

keywords = "L solution, fractional Brownian motion, fractional Hardy-H{\'e}non parabolic equations, stochastic equations",

author = "Kexue Li",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s).",

year = "2025",

doi = "10.18514/MMN.2025.4575",

language = "英语",

volume = "26",

pages = "383--393",

journal = "Miskolc Mathematical Notes",

issn = "1787-2405",

publisher = "University of Miskolc",

number = "1",

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TY - JOUR

T1 - WELL-POSEDNESS FOR FRACTIONAL HARDY-HéNON PARABOLIC EQUATIONS WITH FRACTIONAL BROWNIAN MOTION

AU - Li, Kexue

PY - 2025

Y1 - 2025

N2 - In this paper, we consider fractional Hardy-Hénon parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of Lq mild solutions are proved.

AB - In this paper, we consider fractional Hardy-Hénon parabolic equations driven by fractional Brownian motion. The local existence and uniqueness of Lq mild solutions are proved.

KW - L solution

KW - fractional Brownian motion

KW - fractional Hardy-Hénon parabolic equations

KW - stochastic equations

UR - https://www.scopus.com/pages/publications/105008043807

U2 - 10.18514/MMN.2025.4575

DO - 10.18514/MMN.2025.4575

M3 - 文章

AN - SCOPUS:105008043807

SN - 1787-2405

VL - 26

SP - 383

EP - 393

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 1

ER -

WELL-POSEDNESS FOR FRACTIONAL HARDY-HéNON PARABOLIC EQUATIONS WITH FRACTIONAL BROWNIAN MOTION

Abstract

Keywords

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