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
Full-text PDF Free Access
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] Jong Uhn Kim, On the Cauchy problem associated with the motion of a Bingham fluid in the plane, Trans. Amer. Math. Soc. 298 (1986), no. 1, 371–400. MR 857449, https://doi.org/10.1090/S0002-9947-1986-0857449-X
- [2] John G. Heywood, On uniqueness questions in the theory of viscous flow, Acta Math. 136 (1976), no. 1-2, 61–102. MR 0425390, https://doi.org/10.1007/BF02392043
Retrieve articles in Transactions of the American Mathematical Society with MSC: 46E35, 46F05
Retrieve articles in all journals with MSC: 46E35, 46F05
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