The poloidal-toroidal decomposition of differential forms

Analysis (Germany)

Volumn 17, Issue 2-3, 1997, Pages 265-286

  Week, Norbert ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85026102628     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1997.17.23.265     Document Type: Article

References (9)

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4. Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Berlin: Springer 1983.
5. Schmitt, B.J.: The poloidal-toroidal representation of solenoidal fields in spherical domains. Analysis 15, 257–277 (1995).
6. Schwarz, G.: Hodge Decomposition-A Method for Solving Boundary Value Problems. Berlin: Springer 1995.
7. von Wahl, W.: Estimating Vu by div u and curl u. Math. Meth. Appl. Sci. 15, 257–277 (1992).
8. Warner, F.W.: Foundations of Differentiable Manifolds and Lie Groups. Glenview, 111.-London: Scott, Foresman and Co. 1971.
9. Weck, N., Witsch, K.J.: Generalized spherical harmonics and exterior differentiation in weighted Sobolev spaces. Math. Meth. Appl. Sci. 17, 1017–1043 (1994).