Question

Uniqueness of the derivative of a differentiable function on a non-open set

score 132 · Answer 1 · 2020-08-05 11:08:11

132

Views

Uniqueness of the derivative of a differentiable function on a non-open set

Published on 05 Aug 2020 - 11:08

score 133 · Answer 2 · 2020-08-06 06:16:50

133

Views

Differentiability at the boundary of a function on a half space

Published on 06 Aug 2020 - 6:16

score 46 · Answer 3 · 2020-08-08 21:15:15

46

Views

Sufficient conditions on E to ensure equality of the Frechet derivatives in E of two functions f,g that agree in E.

Published on 08 Aug 2020 - 21:15

score 294 · Answer 4 · 2020-08-08 23:50:28

294

Views

Calculating a Fréchet derivative

Published on 08 Aug 2020 - 23:50

score 31 · Answer 5 · 2020-08-11 09:29:13

31

Views

If $T_t$ is a diffeomorphism, show $\frac\partial{\partial t}{\rm D}T_t(x)={\rm D}\left(\frac\partial{\partial t}T_t\right)(x)$

Published on 11 Aug 2020 - 9:29

score 86 · Answer 6 · 2020-08-11 12:17:35

86

Views

A continuously differentiable function on a compact set is Lipschitz continuous

Published on 11 Aug 2020 - 12:17

score 36 · Answer 7 · 2020-08-13 15:27:19

36

Views

Differential dependence on the initial value for a simple ordinary differential equation

Published on 13 Aug 2020 - 15:27

score 284 · Answer 8 · 2020-08-17 14:13:10

284

Views

What's the right definitition of continuously differentiable?

Published on 17 Aug 2020 - 14:13

score 36 · Answer 9 · 2026-03-29 08:16:07

36

Views

If $\Theta$ is continuously embedded into $C^1(E,E)$ and $t\mapsto f(t,\;\cdot\;)$ is in $C^0([0,\tau],\Theta)$, then ${\rm D}_2f$ is continuous

Published on 29 Mar 2026 - 8:16

score 11 · Answer 10 · 2026-02-26 04:21:00

11

Views

Show that for this family $T_t(x)$ of diffeomorphisms ${\rm D}T_t(x)$ is continuous in $t$ uniformly with respect to $x$

Published on 26 Feb 2026 - 4:21

score 120 · Answer 11 · 2020-08-20 15:47:09

120

Views

Jacobian of the inverse of a matrix times a vector

Published on 20 Aug 2020 - 15:47

score 106 · Answer 12 · 2020-08-25 17:41:46

106

Views

Unclear Step In Implicit Function Theorem Proof

Published on 25 Aug 2020 - 17:41

score 548 · Answer 13 · 2020-09-06 00:34:15

548

Views

Help me understand and compute a Fréchet derivative in $L^2$

Published on 06 Sep 2020 - 0:34

score 69 · Answer 14 · 2026-03-26 17:32:29

69

Views

Smooth extension and derivative with respect to $t$ of a function $y_t$ on a variable domain $\Omega_t$

Published on 26 Mar 2026 - 17:32

score 84 · Answer 15 · 2020-09-16 17:43:17

84

Views

Can we show differentiability uniformly wrt a parameter here?

Published on 16 Sep 2020 - 17:43

List Question

Uniqueness of the derivative of a differentiable function on a non-open set

Differentiability at the boundary of a function on a half space

Sufficient conditions on E to ensure equality of the Frechet derivatives in E of two functions f,g that agree in E.

Calculating a Fréchet derivative

If $T_t$ is a diffeomorphism, show $\frac\partial{\partial t}{\rm D}T_t(x)={\rm D}\left(\frac\partial{\partial t}T_t\right)(x)$

A continuously differentiable function on a compact set is Lipschitz continuous

Differential dependence on the initial value for a simple ordinary differential equation

What's the right definitition of continuously differentiable?

If $\Theta$ is continuously embedded into $C^1(E,E)$ and $t\mapsto f(t,\;\cdot\;)$ is in $C^0([0,\tau],\Theta)$, then ${\rm D}_2f$ is continuous

Show that for this family $T_t(x)$ of diffeomorphisms ${\rm D}T_t(x)$ is continuous in $t$ uniformly with respect to $x$

Jacobian of the inverse of a matrix times a vector

Unclear Step In Implicit Function Theorem Proof

Help me understand and compute a Fréchet derivative in $L^2$

Smooth extension and derivative with respect to $t$ of a function $y_t$ on a variable domain $\Omega_t$

Can we show differentiability uniformly wrt a parameter here?

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