Approximation by Smooth Functions in Sobolev Spaces, a Counterexample

Torbjörn Kolsrud

doi:10.1112/blms/13.2.167

Approximation by Smooth Functions in Sobolev Spaces, a Counterexample

Bulletin of the London Mathematical Society ◽

10.1112/blms/13.2.167 ◽

1981 ◽

Vol 13 (2) ◽

pp. 167-169 ◽

Cited By ~ 4

Author(s):

Torbjörn Kolsrud

Keyword(s):

Sobolev Spaces ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Approximation by Smooth Functions in Sobolev Spaces

Bulletin of the London Mathematical Society ◽

10.1112/blms/11.1.37 ◽

1979 ◽

Vol 11 (1) ◽

pp. 37-40 ◽

Cited By ~ 1

Author(s):

Charles J. Amick

Keyword(s):

Sobolev Spaces ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Best Approximation by Smooth Functions and Related Problems

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique - Parametric Optimization and Approximation ◽

10.1007/978-3-0348-6253-0_5 ◽

1984 ◽

pp. 70-82 ◽

Cited By ~ 1

Author(s):

A. L. Brown

Keyword(s):

Best Approximation ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Density of smooth functions in variable exponent Sobolev spaces

Nonlinear Analysis ◽

10.1016/j.na.2015.07.007 ◽

2015 ◽

Vol 127 ◽

pp. 196-205 ◽

Cited By ~ 2

Author(s):

Thanasis Kostopoulos ◽

Nikos Yannakakis

Keyword(s):

Sobolev Spaces ◽

Variable Exponent ◽

Smooth Functions ◽

Variable Exponent Sobolev Spaces

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Density of smooth functions between two manifolds in Sobolev spaces

Journal of Functional Analysis ◽

10.1016/0022-1236(88)90065-1 ◽

1988 ◽

Vol 80 (1) ◽

pp. 60-75 ◽

Cited By ~ 109

Author(s):

Fabrice Bethuel ◽

Xiaomin Zheng

Keyword(s):

Sobolev Spaces ◽

Smooth Functions

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Density of smooth functions in weighted Sobolev spaces

Doklady Mathematics ◽

10.1134/s1064562413060173 ◽

2013 ◽

Vol 88 (3) ◽

pp. 669-673 ◽

Cited By ~ 5

Author(s):

V. V. Zhikov

Keyword(s):

Sobolev Spaces ◽

Weighted Sobolev Spaces ◽

Smooth Functions

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On density of smooth functions in weighted Sobolev spaces with variable exponents

St Petersburg Mathematical Journal ◽

10.1090/spmj/1396 ◽

2016 ◽

Vol 27 (3) ◽

pp. 415-436 ◽

Cited By ~ 5

Author(s):

V. V. Zhikov ◽

M. D. Surnachev

Keyword(s):

Sobolev Spaces ◽

Weighted Sobolev Spaces ◽

Variable Exponents ◽

Smooth Functions

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Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures

Journal of Approximation Theory ◽

10.1016/s0021-9045(02)00019-9 ◽

2003 ◽

Vol 120 (2) ◽

pp. 185-216 ◽

Cited By ~ 6

Author(s):

José M. Rodrı́guez

Keyword(s):

Sobolev Spaces ◽

Smooth Functions ◽

Approximation By Polynomials

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Sobolev Spaces; Multiplication by Smooth Functions

Lecture Notes of the Unione Matematica Italiana - An Introduction to Sobolev Spaces and Interpolation Spaces ◽

10.1007/978-3-540-71483-5_5 ◽

2007 ◽

pp. 21-25

Keyword(s):

Sobolev Spaces ◽

Smooth Functions

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Density of Smooth Functions in Anisotropic Weighted Sobolev Spaces with Weights that are Locally Bounded and Locally Bounded Away from Zero

Mathematical Notes ◽

10.1134/s0001434621050035 ◽

2021 ◽

Vol 109 (5-6) ◽

pp. 694-701

Author(s):

A. Yu. Golovko

Keyword(s):

Sobolev Spaces ◽

Weighted Sobolev Spaces ◽

Smooth Functions ◽

Sobolev Spaces With Weights

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Note on the Taylor expansion of smooth functions defined on Sobolev spaces

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496161575 ◽

1991 ◽

Vol 15 (1) ◽

pp. 145-149

Author(s):

Atsushi Yoshikawa

Keyword(s):

Sobolev Spaces ◽

Taylor Expansion ◽

Smooth Functions

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