Remarks on the Representation of Curl-free and Divergence-free Fields on Whole Space
نویسنده
چکیده
We present an elementary proof of the Helmholtz decomposition on whole R based on the minimization principle of the calculus of variations and some basic results of real analysis and Sobolev spaces. We also use the elementary and self-contained proofs to provide some representation results on the curl-free fields and the divergence-free fields in L(R) in terms of local functions.
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تاریخ انتشار 2013