Dense imbedding of test functions in certain function spaces
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- by Michael Renardy PDF
- Trans. Amer. Math. Soc. 298 (1986), 241-243 Request permission
Abstract:
In a recent paper [1], J. U. Kim studies the Cauchy problem for the motion of a Bingham fluid in ${R^2}$. He points out that the extension of his results to three dimensions depends on proving the denseness of ${C^\infty }$-functions with compact support in certain spaces. In this note, such a result is proved.References
- 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, DOI 10.1090/S0002-9947-1986-0857449-X
- John G. Heywood, On uniqueness questions in the theory of viscous flow, Acta Math. 136 (1976), no. 1-2, 61–102. MR 425390, DOI 10.1007/BF02392043
Additional Information
- © Copyright 1986 American Mathematical Society
- 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