The Hodge Decomposition Theorem plays a significant role in the study of partial differential equations. Several interrelated propositions which are required for the proof of the Hodge theorem in Euclidean three-space are introduced and proved in a novel way.
Bracken, Paul. "Some Results for the Hodge Decomposition Theorem in Euclidean Three-Space." International Journal of Contemporary Mathematical Sciences 11.4 (2016): 155-164.
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International Journal of Contemporary Mathematical Sciences