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Equivalent norms for Sobolev spaces


Author: Robert A. Adams
Journal: Proc. Amer. Math. Soc. 24 (1970), 63-66
MSC: Primary 46.38
DOI: https://doi.org/10.1090/S0002-9939-1970-0251524-2
MathSciNet review: 0251524
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  • [1] R. A. Adams, Compact Sobolev imbeddings for unbounded domains with discrete boundaries, J. Math. Anal. Appl. 24 (1968), 326-333. MR 0240612 (39:1959)
  • [2] -, The Rellich-Kondrachov theorem for unbounded domains, Arch. Rational Mech. Anal. 29 (1968), 390-394. MR 37 #3349. MR 0227765 (37:3349)
  • [3] -, $ - \Delta $ is positive definite on a ``spiny urchin,'' Canad. Math. Bull. 12 (1969), 229-231. MR 0407585 (53:11358)
  • [4] S. Agmon, Lectures on elliptic boundary value problems, Van Nostrand Math. Studies, no. 2, Van Nostrand, Princeton, N. J., 1965. MR 31 #2503. MR 0178246 (31:2504)

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DOI: https://doi.org/10.1090/S0002-9939-1970-0251524-2
Article copyright: © Copyright 1970 American Mathematical Society

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