Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations
期刊名称：
Computers and Mathematics with Applications
2015 年
70 卷
4 期
摘要：
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.
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