List questions from smooth-functions

319

Views

$\sum_{j=1}^n \frac{\partial}{\partial x_j} (\text{cof}(Df))_{ij}=0$ for a $C^\infty$ function $f:\Bbb R^n\to \Bbb R^n$

Published on 02 Apr 2020 - 16:16

256

Views

Are there any non-analytic smooth functions that aren't piecewise or dependent on infinite sums?

Published on 25 Mar 2026 - 11:33

46

Views

How to "fill in" a 2d grid based on neighbors

Published on 25 Mar 2026 - 9:48

282

Views

How partition of unity extend $C^\infty$ functions

Published on 06 Apr 2020 - 20:15

124

Views

Smooth function of infinitely many variables

Published on 25 Mar 2026 - 19:51

357

Views

Proving $e^{1/x}$ is not a distribution.

Published on 26 Mar 2026 - 4:14

76

Views

Prove that function series is smooth

Published on 08 Apr 2020 - 16:16

31

Views

Smoothness of the function

Published on 11 Apr 2020 - 15:39

427

Views

Hadamard's lemma for arbitrary open subsets

Published on 15 Apr 2020 - 10:56

123

Views

Determine whether a function is smooth?

Published on 16 Apr 2020 - 21:23

52

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Is the optimum of this constraint optimization problem smooth everywhere except at one jump?

Published on 20 Apr 2020 - 9:17

123

Views

Is the maximum sectional curvature smooth?

Published on 22 Apr 2020 - 23:18

404

Views

Lie derivative of a top-dimensional differential form on a compact manifold

Published on 24 Apr 2020 - 19:39

261

Views

Can continuous functions be made smooth by changing the smooth structure on the domain?

Published on 24 Apr 2020 - 20:59

86

Views

Monotone interpolation with prescribed derivatives at endpoints

Published on 26 Apr 2020 - 12:06

List Question

$\sum_{j=1}^n \frac{\partial}{\partial x_j} (\text{cof}(Df))_{ij}=0$ for a $C^\infty$ function $f:\Bbb R^n\to \Bbb R^n$

Are there any non-analytic smooth functions that aren't piecewise or dependent on infinite sums?

How to "fill in" a 2d grid based on neighbors

How partition of unity extend $C^\infty$ functions

Smooth function of infinitely many variables

Proving $e^{1/x}$ is not a distribution.

Prove that function series is smooth

Smoothness of the function

Hadamard's lemma for arbitrary open subsets

Determine whether a function is smooth?

Is the optimum of this constraint optimization problem smooth everywhere except at one jump?

Is the maximum sectional curvature smooth?

Lie derivative of a top-dimensional differential form on a compact manifold

Can continuous functions be made smooth by changing the smooth structure on the domain?

Monotone interpolation with prescribed derivatives at endpoints

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