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Some Results For The Hodge Decomposition Theorem In Euclidean Three-Space, Paul Bracken
Some Results For The Hodge Decomposition Theorem In Euclidean Three-Space, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
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.