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Boundary Regularity in the Sobolev Imbedding Theorems

Published online by Cambridge University Press:  20 November 2018

A. E. Hurd
A. E. Hurd*
Affiliation:
University of California, Los Angeles
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In (6) (see also 7), Sobolev introduced a class of function spaces Wm,p(Ω) (m a non-negative integer, 1 < p < ∞) defined on open subsets Ω of Euclidean space En, which have important applications in partial differential equations. They are defined as follows. For each n-tuple α = (α1, … αn) of non-negative integers let

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 350 - 356
Copyright
Copyright © Canadian Mathematical Society 1966

References

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