Abstract
This paper is concerned with the Helmholtz decomposition of vector fields on bounded domains and exterior domains, and provides the decompositions in Sobolev spaces and Besov spaces of order in certain interval. In particular, the decompositions in homogeneous Besov spaces $\dot{B}_{1,q}^{s}$ and $\dot{B}_{\infty,q}^{s}$ are given.
Information
Digital Object Identifier: 10.2969/aspm/04710099