Dense imbedding of test functions in certain function spaces
Author:
Michael Renardy
Journal:
Trans. Amer. Math. Soc. 298 (1986), 241-243
MSC:
Primary 46E35; Secondary 46F05
DOI:
https://doi.org/10.1090/S0002-9947-1986-0857442-7
MathSciNet review:
857442
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Abstract | References | Similar Articles | Additional Information
Abstract: In a recent paper [1], J. U. Kim studies the Cauchy problem for the motion of a Bingham fluid in 
. He points out that the extension of his results to three dimensions depends on proving the denseness of 
-functions with compact support in certain spaces. In this note, such a result is proved.
- [1] J. U. Kim, On the Cauchy problem associated with the motion of a Bingham fluid in the plane, Trans. Amer. Math. Soc. (to appear). MR 857449 (88b:35178)
- [2] J. G. Heywood, On uniqueness questions in the theory of viscous flow, Acta Math. 136 (1976), 61-102. MR 0425390 (54:13346)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1986-0857442-7
Keywords:
Sobolev spaces,
approximation by test functions
Article copyright:
© Copyright 1986
American Mathematical Society
