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Orthogonal decompositions of Sobolev spaces in Clifford analysis

✍ Scribed by H. Begehr; Ju. Dubinskii

Publisher
Springer
Year
2002
Tongue
English
Weight
144 KB
Volume
181
Category
Article
ISSN
0373-3114

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## Communicated by M. Lachowicz Let f ∈ L 2,-l (R 3 ), where We prove the decomposition f =-βˆ‡u+g, with g divergence free and u is a solution to the problem in R 3 Since f, u, g are defined in R 3 we need a sufficiently fast decay of these functions as |x|β†’βˆž.