Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations

Yongqiang Fu; Vicenţiu D. Rədulescu; Binlin Zhang

doi:10.1016/j.camwa.2015.05.020

Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations

Yongqiang Fu
, Vicenţiu D. Rədulescu^*
, Binlin Zhang

^*Corresponding author for this work

School of Mathematics

King Abdulaziz University
Romanian Academy
Harbin Institute of Technology
Heilongjiang Institute of Technology

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

7 Scopus citations

Abstract

In this paper, we establish a Hodge-type decomposition of variable exponent Lebesgue spaces of Clifford-valued functions, where one of the subspaces is the space of all monogenic Lp(^x)-functions. Using this decomposition, we obtain the existence and uniqueness of solutions to the homogeneous A-Dirac equations with variable growth under certain appropriate conditions and to the Stokes equations in the setting of variable exponent spaces of Clifford-valued functions.

Original language	English
Pages (from-to)	691-704
Number of pages	14
Journal	Computers and Mathematics with Applications
Volume	70
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2015.05.020
State	Published - 1 Aug 2015

Keywords

A-Dirac equation
Clifford analysis
Lp (-decomposition
Stokes equation
Variable exponent

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10.1016/j.camwa.2015.05.020

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title = "Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations",

abstract = "In this paper, we establish a Hodge-type decomposition of variable exponent Lebesgue spaces of Clifford-valued functions, where one of the subspaces is the space of all monogenic Lp(x)-functions. Using this decomposition, we obtain the existence and uniqueness of solutions to the homogeneous A-Dirac equations with variable growth under certain appropriate conditions and to the Stokes equations in the setting of variable exponent spaces of Clifford-valued functions.",

keywords = "A-Dirac equation, Clifford analysis, Lp (-decomposition, Stokes equation, Variable exponent",

author = "Yongqiang Fu and Rədulescu, \{Vicen{\c t}iu D.\} and Binlin Zhang",

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AU - Fu, Yongqiang

AU - Rədulescu, Vicenţiu D.

AU - Zhang, Binlin

PY - 2015/8/1

Y1 - 2015/8/1

N2 - In this paper, we establish a Hodge-type decomposition of variable exponent Lebesgue spaces of Clifford-valued functions, where one of the subspaces is the space of all monogenic Lp(x)-functions. Using this decomposition, we obtain the existence and uniqueness of solutions to the homogeneous A-Dirac equations with variable growth under certain appropriate conditions and to the Stokes equations in the setting of variable exponent spaces of Clifford-valued functions.

AB - In this paper, we establish a Hodge-type decomposition of variable exponent Lebesgue spaces of Clifford-valued functions, where one of the subspaces is the space of all monogenic Lp(x)-functions. Using this decomposition, we obtain the existence and uniqueness of solutions to the homogeneous A-Dirac equations with variable growth under certain appropriate conditions and to the Stokes equations in the setting of variable exponent spaces of Clifford-valued functions.

KW - A-Dirac equation

KW - Clifford analysis

KW - Lp (-decomposition

KW - Stokes equation

KW - Variable exponent

UR - https://www.scopus.com/pages/publications/84937733244

U2 - 10.1016/j.camwa.2015.05.020

DO - 10.1016/j.camwa.2015.05.020

M3 - 文章

AN - SCOPUS:84937733244

SN - 0898-1221

VL - 70

SP - 691

EP - 704

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations

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Keywords

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